Finding the Fourth Proportional to 357.75, 493.70 and 202.50
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Solution
The fourth proportional to 357.75, 493.70 and 202.50 is: 279.45
Step by Step Solution
- Step 1: Write the proportion equation
357.75 : 493.70 = 202.50 : x - Step 2: Convert to fraction form
357.75/493.70 = 202.50/x - Step 3: Cross multiply
357.75x = 493.70 × 202.50 - Step 4: Simplify right side
357.75x = 99,973.24 - Step 5: Solve for x
x = 99,973.24/357.75 - Step 6: Final answer
x = 279.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.