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Finding the Fourth Proportional to 252.41, 378.57 and 142.61

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Solution

The fourth proportional to 252.41, 378.57 and 142.61 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.41 : 378.57 = 142.61 : x
  2. Step 2: Convert to fraction form
    252.41/378.57 = 142.61/x
  3. Step 3: Cross multiply
    252.41x = 378.57 × 142.61
  4. Step 4: Simplify right side
    252.41x = 53,987.87
  5. Step 5: Solve for x
    x = 53,987.87/252.41
  6. Step 6: Final answer
    x = 213.89

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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.