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Finding the Fourth Proportional to 524.86, 787.42 and 178.22

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Solution

The fourth proportional to 524.86, 787.42 and 178.22 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 787.42 = 178.22 : x
  2. Step 2: Convert to fraction form
    524.86/787.42 = 178.22/x
  3. Step 3: Cross multiply
    524.86x = 787.42 × 178.22
  4. Step 4: Simplify right side
    524.86x = 140,333.99
  5. Step 5: Solve for x
    x = 140,333.99/524.86
  6. Step 6: Final answer
    x = 267.37

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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.