Question

complete the ratio table.
41 142
82 284
123
164
205 710

Explanation:

Step1: Find the ratio

Check ratio: $\frac{142}{41}=3.4634...$? Wait, $\frac{284}{82}=3.4634...$ no, wait $\frac{710}{205}=3.4634...$ no, wait 41×3.4634≈142, 82×3.4634≈284, 205×3.4634≈710. Alternatively, 142÷41=3.4634… or 41×3.4634≈142, 82×3.4634≈284, 123×3.4634≈426, 164×3.4634≈568, 205×3.4634≈710. Correct ratio is 142/41=3.4634…= 142÷41=3.4634… or 710÷205=3.4634… which is 34634/10000= 17317/5000, but simpler: 142=41×3 + 19? No, 41×3=123, 142-123=19. Wait 284=82×3 +38=82×3 + 2×19. 710=205×3 + 95=205×3 +5×19. So 123×3 +3×19=369+57=426. 164×3 +4×19=492+76=568. Yes!

Step2: Calculate for 123

123×3 +3×19= 369+57=426

Step3: Calculate for164

164×3 +4×19=492+76=568

Answer:

426, 568