Finding the Fourth Proportional to 394.40, 591.91 and 178.13
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Solution
The fourth proportional to 394.40, 591.91 and 178.13 is: 267.34
Step by Step Solution
- Step 1: Write the proportion equation
394.40 : 591.91 = 178.13 : x - Step 2: Convert to fraction form
394.40/591.91 = 178.13/x - Step 3: Cross multiply
394.40x = 591.91 × 178.13 - Step 4: Simplify right side
394.40x = 105,437.96 - Step 5: Solve for x
x = 105,437.96/394.40 - Step 6: Final answer
x = 267.34
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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.