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Finding the Fourth Proportional to 232.86, 349.56 and 96.01

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Solution

The fourth proportional to 232.86, 349.56 and 96.01 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 349.56 = 96.01 : x
  2. Step 2: Convert to fraction form
    232.86/349.56 = 96.01/x
  3. Step 3: Cross multiply
    232.86x = 349.56 × 96.01
  4. Step 4: Simplify right side
    232.86x = 33,560.38
  5. Step 5: Solve for x
    x = 33,560.38/232.86
  6. Step 6: Final answer
    x = 144.12

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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.