To solve for \( x \) based on the given inequalities, we can interpret the information in the expression as follows:

1. You have constants related to \( x \):
- \( x \) is between 9 and 10.
- \( x \) is equal to 15.
- 200 < \( x \) < 300.

From the inequalities:
- The first point suggests \( x \) is between 9 and 10, which is not consistent with the second point since \( x = 15 \) does not satisfy \( x < 10 \).
- The valid point for \( x \) must come from the last inequality, which is the strongest restriction.

Therefore, combining these logically, if \( x = 15 \) satisfies the condition \( 200 < x < 300 \).

In conclusion, the only logical value satisfying the last condition is:
\[ x = 15 \]