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?

Let's break this down step by step:

Step 1: Translate the problem into an equation. The problem states that "Fifty-three percent of a number is 358 less than the square of 26." This can be written as: 0.53x = 26^2 - 358

Step 2: Solve the equation for x. First, calculate the square of 26, which is 676. Then subtract 358 from 676, which gives 318. So the equation becomes: 0.53x = 318 To solve for x, divide both sides of the equation by 0.53: x = 318 / 0.53 x ≈ 600

Step 3: Find three-fourth of 32 percent of the number. First, find 32 percent of the number, which is 0.32 * 600 = 192. Then find three-fourth of this result, which is 0.75 * 192 = 144.

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