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 $L_{150}$ and $L_{200}$, respectively. If the value of $L_{200}$ is $2.9 \times 10^{-3}$ inch, then the value of $L_{150}$ (in inch) is _____ $\times 10^{-3}$ (rounded off to one decimal place).