During a safety inspection at a nuclear facility, a digital dosimeter is used to measure the intensity of gamma radiation emitted by a localized shielding leak. The relationship between the detected radiation intensity and the distance from the leak is modeled by the formula:

$$I=\frac{k}{x^2}$$

where $x$ is the distance from the leak in metres (m), $I$ is the radiation intensity in microsieverts per hour ($\mu Sv/h$), and $k$ is a constant.

When the dosimeter is placed 0.80 m from the leak, the recorded radiation intensity is $225\mu Sv/h$.

Calculate the radiation intensity registered by the dosimeter when it is moved to a distance of 1.5 m from the leak.