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Finding the Fourth Proportional to 232.14, 348.26 and 135.75

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Solution

The fourth proportional to 232.14, 348.26 and 135.75 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 348.26 = 135.75 : x
  2. Step 2: Convert to fraction form
    232.14/348.26 = 135.75/x
  3. Step 3: Cross multiply
    232.14x = 348.26 × 135.75
  4. Step 4: Simplify right side
    232.14x = 47,275.62
  5. Step 5: Solve for x
    x = 47,275.62/232.14
  6. Step 6: Final answer
    x = 203.65

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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.