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Finding the Fourth Proportional to 252.76, 348.82 and 142.24

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Solution

The fourth proportional to 252.76, 348.82 and 142.24 is: 196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 348.82 = 142.24 : x
  2. Step 2: Convert to fraction form
    252.76/348.82 = 142.24/x
  3. Step 3: Cross multiply
    252.76x = 348.82 × 142.24
  4. Step 4: Simplify right side
    252.76x = 49,616.16
  5. Step 5: Solve for x
    x = 49,616.16/252.76
  6. Step 6: Final answer
    x = 196.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.