The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of students (boys and girls) in classes $\text{VIII}$ and $\text{IX}$ is $450$ and $360$, respectively. If the number of girls in classes $\text{VIII}$ and $\text{IX}$ is the same, then the number of girls in each class is
- $150$
- $200$
- $250$
- $175$