Directions: Calculate the approximate value that should replace the question mark (?) in the equation below.

What approximate value should come in the place of question (?) mark:

$124.98-25.01\%\text{ of }360.02=({?}^2+200.97)÷14.99$

The correct answer is 18.

To find the approximate value of the question mark (?), we can round each decimal number in the given equation to its nearest whole number or convenient value:

124.98 ≈ 125
25.01% ≈ 25%
360.02 ≈ 360
200.97 ≈ 201
14.99 ≈ 15

Now, substitute these approximate values back into the original equation:

$125-25\%\text{ of }360=({?}^2+201)÷15$

Step 1: Simplify the Left-Hand Side (LHS)

First, calculate 25% of 360:

$25\%\text{ of }360=\frac{25}{100}\times 360=\frac{1}{4}\times 360=90$

Next, subtract this value from 125 to obtain the simplified LHS:

$\text{LHS}=125-90=35$

Step 2: Equate LHS to the Right-Hand Side (RHS) and solve for ?

$35=\frac{{?}^2+201}{15}$

Multiply both sides by 15:

$35\times 15={?}^2+201$

$525={?}^2+201$

Subtract 201 from both sides:

${?}^2=525-201$

${?}^2=324$

Take the square root of both sides:

$?=\sqrt{324}=18$

Thus, the approximate value that should replace the question mark is 18.