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Finding the Fourth Proportional to 252.34, 348.10 and 173.52

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Solution

The fourth proportional to 252.34, 348.10 and 173.52 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 348.10 = 173.52 : x
  2. Step 2: Convert to fraction form
    252.34/348.10 = 173.52/x
  3. Step 3: Cross multiply
    252.34x = 348.10 × 173.52
  4. Step 4: Simplify right side
    252.34x = 60,401.88
  5. Step 5: Solve for x
    x = 60,401.88/252.34
  6. Step 6: Final answer
    x = 239.37

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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.