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Finding the Fourth Proportional to 232.35, 348.11 and 129.27

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Solution

The fourth proportional to 232.35, 348.11 and 129.27 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.35 : 348.11 = 129.27 : x
  2. Step 2: Convert to fraction form
    232.35/348.11 = 129.27/x
  3. Step 3: Cross multiply
    232.35x = 348.11 × 129.27
  4. Step 4: Simplify right side
    232.35x = 45,000.18
  5. Step 5: Solve for x
    x = 45,000.18/232.35
  6. Step 6: Final answer
    x = 193.67

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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.