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Finding the Fourth Proportional to 524.92, 787.20 and 178.16

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Solution

The fourth proportional to 524.92, 787.20 and 178.16 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.92 : 787.20 = 178.16 : x
  2. Step 2: Convert to fraction form
    524.92/787.20 = 178.16/x
  3. Step 3: Cross multiply
    524.92x = 787.20 × 178.16
  4. Step 4: Simplify right side
    524.92x = 140,247.55
  5. Step 5: Solve for x
    x = 140,247.55/524.92
  6. Step 6: Final answer
    x = 267.18

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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.