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Finding the Fourth Proportional to 524.90, 787.44 and 178.27

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Solution

The fourth proportional to 524.90, 787.44 and 178.27 is: 267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.90 : 787.44 = 178.27 : x
  2. Step 2: Convert to fraction form
    524.90/787.44 = 178.27/x
  3. Step 3: Cross multiply
    524.90x = 787.44 × 178.27
  4. Step 4: Simplify right side
    524.90x = 140,376.93
  5. Step 5: Solve for x
    x = 140,376.93/524.90
  6. Step 6: Final answer
    x = 267.44

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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.