Final answer:
Using initial fat mass and the desired body fat percentage while keeping the lean body mass constant, the client would weigh approximately 193.85 lbs at 22% body fat.
Step-by-step explanation:
First, we calculate the current fat mass: 210 lbs * 28% = 58.8 lbs of fat. Now let's assume the lean body mass remains constant, and only the fat mass changes. To achieve a body fat percentage of 22%, we do the following: Let x be the new total weight of the client. The lean mass currently is 210 - 58.8 = 151.2 lbs. At a 22% body fat percentage, the fat mass would be 0.22x. Since lean mass doesn't change, we set up the equation 151.2 lbs + 0.22x = x.
Solving for x gives us x = 151.2 / (1 - 0.22), which equals 193.85 lbs. So, at 22% body fat, maintaining the same lean body mass, the client would weigh approximately 193.85 lbs.