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Finding the Fourth Proportional to 232.21, 348.32 and 129.59

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Solution

The fourth proportional to 232.21, 348.32 and 129.59 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.21 : 348.32 = 129.59 : x
  2. Step 2: Convert to fraction form
    232.21/348.32 = 129.59/x
  3. Step 3: Cross multiply
    232.21x = 348.32 × 129.59
  4. Step 4: Simplify right side
    232.21x = 45,139.01
  5. Step 5: Solve for x
    x = 45,139.01/232.21
  6. Step 6: Final answer
    x = 194.39

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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.