You are planning for your child's education. You would like to make deposits every $26$ weeks $($half year$)$ in Years $0$ through $21,$ with your first deposit to be made today $($a total of $43$ deposits$),$ so that your child may make withdrawals in each of the Years $18$ through $21$ for tuition. Tuition is currently $$2,900/$year$,$ and is expected to grow at $4\%$ for each of the next $10$ years, and then at $5\%$ for each of years $11$ through $21.$ You can earn a nominal annual rate of $8\mathrm{.}632\%,$ with interest compounded weekly $(52-$week year$)$ in a college savings account. How much must you deposit every $26$ weeks?

$$245\mathrm{.}56$

$$219\mathrm{.}25$

$$236\mathrm{.}79$

$$254\mathrm{.}33$

$$228\mathrm{.}02$