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Finding the Fourth Proportional to 524.73, 787.19 and 178.10

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Solution

The fourth proportional to 524.73, 787.19 and 178.10 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 787.19 = 178.10 : x
  2. Step 2: Convert to fraction form
    524.73/787.19 = 178.10/x
  3. Step 3: Cross multiply
    524.73x = 787.19 × 178.10
  4. Step 4: Simplify right side
    524.73x = 140,193.71
  5. Step 5: Solve for x
    x = 140,193.71/524.73
  6. Step 6: Final answer
    x = 267.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.