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Finding the Fourth Proportional to 232.21, 348.32 and 78.14

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Solution

The fourth proportional to 232.21, 348.32 and 78.14 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.21 : 348.32 = 78.14 : x
  2. Step 2: Convert to fraction form
    232.21/348.32 = 78.14/x
  3. Step 3: Cross multiply
    232.21x = 348.32 × 78.14
  4. Step 4: Simplify right side
    232.21x = 27,217.72
  5. Step 5: Solve for x
    x = 27,217.72/232.21
  6. Step 6: Final answer
    x = 117.21

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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.