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Finding the Fourth Proportional to 232.26, 348.39 and 196.35

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Solution

The fourth proportional to 232.26, 348.39 and 196.35 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 348.39 = 196.35 : x
  2. Step 2: Convert to fraction form
    232.26/348.39 = 196.35/x
  3. Step 3: Cross multiply
    232.26x = 348.39 × 196.35
  4. Step 4: Simplify right side
    232.26x = 68,406.38
  5. Step 5: Solve for x
    x = 68,406.38/232.26
  6. Step 6: Final answer
    x = 294.53

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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.