In an electrophoresis experiment a sol particle front moves $1.8\mathrm{mm}$ in $90\mathrm{s}$ when $120\mathrm{V}$ is applied across electrodes $30\mathrm{cm}$ apart. The distance moved is proportional to the potential gradient and the time. How far, in mm, will it move in $4.5$ minutes when $175\mathrm{V}$ is applied across electrodes $25\mathrm{cm}$ apart? Give two decimals.

Numerical answer type, answer in mm, tolerance 0.05.