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Finding the Fourth Proportional to 252.13, 378.13 and 142.49

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Solution

The fourth proportional to 252.13, 378.13 and 142.49 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 378.13 = 142.49 : x
  2. Step 2: Convert to fraction form
    252.13/378.13 = 142.49/x
  3. Step 3: Cross multiply
    252.13x = 378.13 × 142.49
  4. Step 4: Simplify right side
    252.13x = 53,877.14
  5. Step 5: Solve for x
    x = 53,877.14/252.13
  6. Step 6: Final answer
    x = 213.69

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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.