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Finding the Fourth Proportional to 252.30, 378.12 and 142.68

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Solution

The fourth proportional to 252.30, 378.12 and 142.68 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.30 : 378.12 = 142.68 : x
  2. Step 2: Convert to fraction form
    252.30/378.12 = 142.68/x
  3. Step 3: Cross multiply
    252.30x = 378.12 × 142.68
  4. Step 4: Simplify right side
    252.30x = 53,950.16
  5. Step 5: Solve for x
    x = 53,950.16/252.30
  6. Step 6: Final answer
    x = 213.83

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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.