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Finding the Fourth Proportional to 232.67, 348.20 and 178.13

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Solution

The fourth proportional to 232.67, 348.20 and 178.13 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 348.20 = 178.13 : x
  2. Step 2: Convert to fraction form
    232.67/348.20 = 178.13/x
  3. Step 3: Cross multiply
    232.67x = 348.20 × 178.13
  4. Step 4: Simplify right side
    232.67x = 62,023.98
  5. Step 5: Solve for x
    x = 62,023.98/232.67
  6. Step 6: Final answer
    x = 266.57

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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.