If $$\sqrt {1 + \frac{x}{{169}}} {\text{ = }}\frac{{14}}{{13}}{\text{,}}$$    then x is equal to ?

$$\eqalign{ & \Rightarrow \sqrt {1 + \frac{x}{{169}}} = \frac{{14}}{{13}} \cr & \Rightarrow 1 + \frac{x}{{169}} = \frac{{196}}{{169}} \cr & \Rightarrow \frac{x}{{169}} = \left( {\frac{{196}}{{169}} - 1} \right) \cr & \Rightarrow \frac{x}{{169}} = \frac{{27}}{{169}} \cr & \Rightarrow x = 27 \cr} $$