Resistance of a conductor at 1000C temp is 4$\Omega$ and temperature coefficients is 2 x10^-3 /⁰ C then what will be resitance at 200⁰C temperature

${\mathrm{R}}_{\mathrm{T}}={\mathrm{R}}_0(1+\mathrm{\alpha \Delta T})$
For ${100}^0\mathrm{C}4={\mathrm{R}}_0[1+(100-0\left)\mathrm{\alpha }\right]$
$={\mathrm{R}}_0[1+100\mathrm{\alpha }]$…..(1)
For ${200}^{\circ }\mathrm{CR}={\mathrm{R}}_0[1+(200-0\left)\mathrm{\alpha }\right]$
$\mathrm{R}={\mathrm{R}}_0[1+200\mathrm{\alpha }]..$(2)
By  $\text{ (1) (2) }\frac{4}{\mathrm{R}}=\frac{1+100\mathrm{\alpha }}{1+200\mathrm{\alpha }}$
$\frac{4+800\mathrm{\alpha }}{1+100\mathrm{\alpha }}=\mathrm{r}$
put $\alpha =2\times {10}^{-3}{/}^{0}C$
$\mathrm{R}=4.66\mathrm{\Omega }$