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:

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 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 = 600

Step 3: Find three-fourth of 32 percent of that number.

First, find 32% of 600, which is 0.32 * 600 = 192.

Then, find three-fourths of 192, which is 0.75 * 192 = 144.

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