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Finding the Fourth Proportional to 361.91, 542.52 and 142.65

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Solution

The fourth proportional to 361.91, 542.52 and 142.65 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.91 : 542.52 = 142.65 : x
  2. Step 2: Convert to fraction form
    361.91/542.52 = 142.65/x
  3. Step 3: Cross multiply
    361.91x = 542.52 × 142.65
  4. Step 4: Simplify right side
    361.91x = 77,392.03
  5. Step 5: Solve for x
    x = 77,392.03/361.91
  6. Step 6: Final answer
    x = 213.85

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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.