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Finding the Fourth Proportional to 331.62, 497.40 and 115.17

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Solution

The fourth proportional to 331.62, 497.40 and 115.17 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 497.40 = 115.17 : x
  2. Step 2: Convert to fraction form
    331.62/497.40 = 115.17/x
  3. Step 3: Cross multiply
    331.62x = 497.40 × 115.17
  4. Step 4: Simplify right side
    331.62x = 57,285.56
  5. Step 5: Solve for x
    x = 57,285.56/331.62
  6. Step 6: Final answer
    x = 172.74

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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.