We can solve this question by means of the rule of three, which can be stated as
![\begin{gathered} 110\text{ calories ----------- 177.4 grams} \\ \text{ x ---------------- 246.5 grams} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3xwlw5qzm3hpx53j1uwtj9q7m7hrpkgqv7.png)
then by using cross-multiplication to calculate x, we have
![x\cdot177.4\text{ grams=(110 calories)}\cdot(246.5\text{ grams)}](https://img.qammunity.org/2023/formulas/mathematics/college/wbgibcvup9ubkulxlinidhhc45nwj2sj3v.png)
so, by dividing both sides by 117.4 grams, x is given as
![\begin{gathered} x=\frac{\text{(110 calories)}\cdot(246.5\text{ grams)}}{177.4\text{ grams}} \\ x=152.54667\text{ calories} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bpe5fleraavx96qi9pb5408kb8m00rb40d.png)
Therefore, by rounding this result to the nearest whole nuymber, there are 153 calories in 246.5 grams of cereal