Good suggestions so far.
Visit www.dietdoctor.com and review the plateau list posted there by Dr. Andreas Eenfeldt. I have had this exact same problem but far longer (April 12th) and here is what I have tried so far:

1. Working out via Primal Blueprint style now-visit www.Marksdailyapple.com or read Primal Blueprint by Mark Sisson. You are highly likely from your description to indeed be working out to the extent of building muscle (very good!) and still losing inches-measure yourself and compare how your clothing is fitting especially since you mention that it is now looser. Try on something that was tight in the past to see if there is improvement. Scales are your least reliable resource.

2. Depending on your personal history, your liver may be sluggish if you have been overweight or obese for several years. Benign Fatty Liver Disease is very common among diabetics (me), obese (me) and people eating a long term processed diet in the past. Liver function is supported by a ketogenic diet and also with lots of daily dark leafy greens-a ketogenic requirement. Cook cruciferous veggies if you have thyroid issues to minimize effects. You can be in a healing phase that can last months from what I have researched. I added Milk Thistle (silymarin) to my supplements this week for this very purpose.

3. Calorie shifting- I am trying this now and having some more loss. This is to assist when your body has a weight set point. In my case, I was at my current weight for years (had gained after a thyroid attack which is what I lost initially then stalled) and your body will fight the change until you make it. Calorie shifting, or metabolic confusion, is similar in effect to interval training and keeps the body guessing which can rev the metabolism. You say that you are eating the same thing all of the time so you are not changing your daily calorie load which can slow your metabolism simply through familiarity. The basic method I am using is my mid-range day is Mon., 3 low range days tues, wed, thurs; my high day friday then back to low range for saturday and sunday. My personal levels are low: 1,392 cal , mid 1,532 and high 1,671 at the moment with a macro setting of 70% fat, 20% protein, 10% carbs while I try to add back more veggie carbs.
I was at 80, 15, 5 from May until last week with no movement even after trying to break it with a fat fast, intermittent fasting and a 36 hour fast. After starting this shifting, I am down 2.25 lbs since last week and continuing the experiment. My husband, on the other hand, is peeling pounds at those numbers but he is not diabetic or menopausal female which both matter, lol.

4. Have you been testing your ketogenic levels via urine or a blood meter? Urine is not accurate; blood is. My husband thought he was ketogenic at those macros and he was barely at a .5 on the blood meter while I was running 2.5-5.9 on it with no scale movement. You can lose effectively at fringe ketosis per Mark Sisson's Primal Blueprint and Eenfeldt states that the sweet spot is 1.5-3.0 with no benefit over 3.0 and possibly slower results below 1.5 but I will say that my husband was peeling pounds at .5 anyway so it is individual like everything else. If you are urine testing, your gallon of water will dilute the readings and make them more inaccurate as they are based on the concentration in the urine at that moment so diluted urine equals diluted readings. If you really want to know, you need a blood ketone meter. I got mine here (https://storefront.novacares.com/storefront/) on the web. Compare current offers with Amazon.

5.Your macros may need tweaking. I was consuming too much fat I now believe after seeing the trend of dropping pounds days when I was a bit lower in % fat but not calories or protein. Therefore, I have just increased my LC veggies in the last week to improve my nutrition profile and offset some fat calories. Some of those carbs are also being offset by fiber from the veggies and psyllium for now which is because I have to watch my glucose levels since I managed to get off of my diabetes meds by doing this since January but so far they are still just as great. That may not apply to you. Do not underestimate the need for micro-nutrients-another keto tenant- so you may need to improve your dietary variety for that reason, also.

5. Are you consuming grass fed pastured, hormone and antibiotic free proteins or commercially produced? Grain fed and drug pumped meats can stall you and the antibiotics the animals are fed are to make them gain weight not cure or prevent illness (it can do that to you, too and makes you antibiotic resistant should you get sick). Are you eating organic produce? Pesticides and herbicides are directly connected to obesity (map overlays of crop use and obesity rates are on the web) and can stall you. Are you eating GMO foods at all? They again, can stall you. I eat offal and a great variety of veggies plus things like nitrate/nitrate free pastured bacon, roasts, ribeyes, poultry, wild caught fish, shellfish, turkey, duck, lamb and more all from my local farmer's market. A good multi-vitamin can help some people, too. I no longer buy meat at the store; in fact I hardly go anymore, lol.

6. I would advise tracking your intakes to look for trends. That has helped me refine things with the fat for instance.

7. See sljohnson's comments about commercial dairy, artificial sweeteners, etc... I now consume raw dairy but only butter or cream and I sometimes make my own full cream yogurt, butter, etc...I also only get raw or pastured whole cheeses. We also consume pastured eggs from the same farmer families. Go to www.eatwild.com to find them near you if you don't know any.

8. Keep doing what you are doing!