Fifty-three percent of a number is 358 less than the square of 26. What is the value of three-fourth of 32 percent of that number?210105144134

Let's solve this step by step:

1. First, let's translate the problem into a mathematical equation. If we let x be the number we're looking for, the problem states that 53% of x is 358 less than the square of 26. In equation form, this is: 0.53x = 26^2 - 358.

2. Solve the right side of the equation: 26^2 - 358 = 676 - 358 = 318.

3. So, 0.53x = 318. To solve for x, divide both sides of the equation by 0.53: x = 318 / 0.53 = 600.

4. Now that we know x = 600, we can find three-fourth of 32 percent of that number. In equation form, this is: 0.75 * 0.32 * 600.

5. Solve the equation: 0.75 * 0.32 * 600 = 144.

So, the value of three-fourth of 32 percent of that number is 144.