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Finding the Fourth Proportional to 361.87, 542.88 and 115.07

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Solution

The fourth proportional to 361.87, 542.88 and 115.07 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.87 : 542.88 = 115.07 : x
  2. Step 2: Convert to fraction form
    361.87/542.88 = 115.07/x
  3. Step 3: Cross multiply
    361.87x = 542.88 × 115.07
  4. Step 4: Simplify right side
    361.87x = 62,466.49
  5. Step 5: Solve for x
    x = 62,466.49/361.87
  6. Step 6: Final answer
    x = 172.62

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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.