$240.012\%\text{of}19.99+117.23÷\sqrt{81.099}+?=220.088$

What approximate value should come in the place of question (?) mark in the following questions.

To find the approximate value that should come in place of the question mark (?), we round each decimal number in the given expression to its nearest convenient integer:

$240.012\%\approx 240\%$

$19.99\approx 20$

$117.23\approx 117$ (since 117 is easily divisible by 9)

$\sqrt{81.099}\approx \sqrt{81}=9$

$220.088\approx 220$

Now, we substitute these approximate values back into the original expression:

$240\%\text{of}20+117÷9+?=220$

We simplify each part of the expression step-by-step using BODMAS rules:

First, evaluate the percentage term:

$240\%\text{of}20=\frac{240}{100}\times 20=2.4\times 20=48$

Next, evaluate the division term:

$117÷9=13$

Now, substitute these simplified values back into the equation:

$48+13+?=220$

Combine the numbers on the left side:

$61+?=220$

Subtract 61 from both sides to solve for ?:

$?=220-61$

$?=159$

Therefore, the correct approximate value is 159.