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Finding the Fourth Proportional to 361.38, 542.07 and 144.96

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Solution

The fourth proportional to 361.38, 542.07 and 144.96 is: 217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.38 : 542.07 = 144.96 : x
  2. Step 2: Convert to fraction form
    361.38/542.07 = 144.96/x
  3. Step 3: Cross multiply
    361.38x = 542.07 × 144.96
  4. Step 4: Simplify right side
    361.38x = 78,578.47
  5. Step 5: Solve for x
    x = 78,578.47/361.38
  6. Step 6: Final answer
    x = 217.44

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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.