If $35\%\text{ of }200+\sqrt{x}=48\%\text{ of }550-10\%\text{ of }150$, then $x$ is equal to:

Simplify each term in the mathematical statement individually:
1. $35\%\text{ of }200=\frac{35}{100}\times 200=70$
2. $48\%\text{ of }550=\frac{48}{100}\times 550=0.48\times 550=264$
3. $10\%\text{ of }150=\frac{10}{100}\times 150=15$

Substitute these values back into the primary equation:

$$70+\sqrt{x}=264-15$$

$$70+\sqrt{x}=249$$

$$\sqrt{x}=249-70$$

$$\sqrt{x}=179$$

Square both sides to extract $x$:

$$x=179^2=32041$$