Finding the Fourth Proportional to 382.98, 574 and 177.26
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Solution
The fourth proportional to 382.98, 574 and 177.26 is: 265.67
Step by Step Solution
- Step 1: Write the proportion equation
382.98 : 574 = 177.26 : x - Step 2: Convert to fraction form
382.98/574 = 177.26/x - Step 3: Cross multiply
382.98x = 574 × 177.26 - Step 4: Simplify right side
382.98x = 101,747.24 - Step 5: Solve for x
x = 101,747.24/382.98 - Step 6: Final answer
x = 265.67
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.