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Finding the Fourth Proportional to 232.68, 348.97 and 70.33

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Solution

The fourth proportional to 232.68, 348.97 and 70.33 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 348.97 = 70.33 : x
  2. Step 2: Convert to fraction form
    232.68/348.97 = 70.33/x
  3. Step 3: Cross multiply
    232.68x = 348.97 × 70.33
  4. Step 4: Simplify right side
    232.68x = 24,540.96
  5. Step 5: Solve for x
    x = 24,540.96/232.68
  6. Step 6: Final answer
    x = 105.47

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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.