Approximation Strategy

To find the approximate value, we round the numbers and percentages to the nearest convenient values:

• $24.99\% \approx 25\%$
• $799.897 \approx 800$
• $29.989\% \approx 30\%$
• $120.010 \approx 120$
• $22.998\% \approx 23\%$

The equation becomes:

$25\% \text{ of } 800 + 30\% \text{ of } 120 = 190 + 23\% \text{ of } ?$

Calculation Steps

1. Calculate the first term: $25\% \text{ of } 800 = \frac{25}{100} \times 800 = 0.25 \times 800 = 200$
2. Calculate the second term: $30\% \text{ of } 120 = \frac{30}{100} \times 120 = 0.3 \times 120 = 36$
3. Substitute these values back into the approximated equation: $200 + 36 = 190 + 23\% \text{ of } ?$ $236 = 190 + 23\% \text{ of } ?$
4. Isolate the term containing '?': $23\% \text{ of } ? = 236 - 190$ $23\% \text{ of } ? = 46$
5. Solve for '?': $\frac{23}{100} \times ? = 46$ $? = \frac{46 \times 100}{23}$ $? = 2 \times 100$ $? = 200$

Final Answer

The closest approximate value for the question mark (?) is 200.