Problem $4\{$Final Exam, Spring $2023\}$ Under a large building, there is a layer of compact sand of unit

weight $20k\frac{N}{m^3}$ extending for a depth of $3m$ below the foundation. Under the sand layer, there is a layer of clay of unit weight $16\mathrm{.}50k\frac{N}{m^3},1m$ thick, and beneath clay, there is more sand. The water table is at the foundation level. The results in Table $3$ were obtained from a consolidation test on a sample of the clay:

Table $3.$

$\backslash$table$[[$Pressure $(k\frac{N}{m^2}),$Thickness of sample $($mm$)],[0,19\mathrm{.}0],[25,18\mathrm{.}8],[50,18\mathrm{.}3],[100,17\mathrm{.}6],[200,16\mathrm{.}1],[400,14\mathrm{.}5]]$

If the mean value of the additional pressure on the clay from the weight of the building is $150k\frac{N}{m^2},$ estimate the probable final settlement due to the consolidation of the clay.