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Finding the Fourth Proportional to 232.98, 349.68 and 151.92

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Solution

The fourth proportional to 232.98, 349.68 and 151.92 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 349.68 = 151.92 : x
  2. Step 2: Convert to fraction form
    232.98/349.68 = 151.92/x
  3. Step 3: Cross multiply
    232.98x = 349.68 × 151.92
  4. Step 4: Simplify right side
    232.98x = 53,123.39
  5. Step 5: Solve for x
    x = 53,123.39/232.98
  6. Step 6: Final answer
    x = 228.02

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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.