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Finding the Fourth Proportional to 252.14, 347.87 and 173.48

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Solution

The fourth proportional to 252.14, 347.87 and 173.48 is: 239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 347.87 = 173.48 : x
  2. Step 2: Convert to fraction form
    252.14/347.87 = 173.48/x
  3. Step 3: Cross multiply
    252.14x = 347.87 × 173.48
  4. Step 4: Simplify right side
    252.14x = 60,347.18
  5. Step 5: Solve for x
    x = 60,347.18/252.14
  6. Step 6: Final answer
    x = 239.34

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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.