Consider two successive screen sizes in the Tyler standard screen scale, viz. $150$ meshes per inch and $200$ meshes per inch. Their linear sizes of the openings are $\mathrm{L}_{150}$ and $\mathrm{L}_{200}$, respectively. If the value of $\mathrm{L}_{200}$ is $2.9 \times 10^{-3}$ inch, then the value of $\mathrm{L}_{150}$ (in inch) is $\_\_\_\_$ $\times 10^{-3}$ (rounded off to one decimal place).
