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Finding the Fourth Proportional to 232.14, 348.14 and 138.27

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Solution

The fourth proportional to 232.14, 348.14 and 138.27 is: 207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 348.14 = 138.27 : x
  2. Step 2: Convert to fraction form
    232.14/348.14 = 138.27/x
  3. Step 3: Cross multiply
    232.14x = 348.14 × 138.27
  4. Step 4: Simplify right side
    232.14x = 48,137.32
  5. Step 5: Solve for x
    x = 48,137.32/232.14
  6. Step 6: Final answer
    x = 207.36

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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.