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Finding the Fourth Proportional to 361.46, 542.24 and 178.85

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Solution

The fourth proportional to 361.46, 542.24 and 178.85 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 542.24 = 178.85 : x
  2. Step 2: Convert to fraction form
    361.46/542.24 = 178.85/x
  3. Step 3: Cross multiply
    361.46x = 542.24 × 178.85
  4. Step 4: Simplify right side
    361.46x = 96,976.02
  5. Step 5: Solve for x
    x = 96,976.02/361.46
  6. Step 6: Final answer
    x = 268.29

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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.