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Finding the Fourth Proportional to 252.97, 349.14 and 142.47

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Solution

The fourth proportional to 252.97, 349.14 and 142.47 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 349.14 = 142.47 : x
  2. Step 2: Convert to fraction form
    252.97/349.14 = 142.47/x
  3. Step 3: Cross multiply
    252.97x = 349.14 × 142.47
  4. Step 4: Simplify right side
    252.97x = 49,741.26
  5. Step 5: Solve for x
    x = 49,741.26/252.97
  6. Step 6: Final answer
    x = 196.63

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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.