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Finding the Fourth Proportional to 232.14, 348.32 and 122.43

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Solution

The fourth proportional to 232.14, 348.32 and 122.43 is: 183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 348.32 = 122.43 : x
  2. Step 2: Convert to fraction form
    232.14/348.32 = 122.43/x
  3. Step 3: Cross multiply
    232.14x = 348.32 × 122.43
  4. Step 4: Simplify right side
    232.14x = 42,644.82
  5. Step 5: Solve for x
    x = 42,644.82/232.14
  6. Step 6: Final answer
    x = 183.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.