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Finding the Fourth Proportional to 232.96, 349.47 and 78.89

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Solution

The fourth proportional to 232.96, 349.47 and 78.89 is: 118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 349.47 = 78.89 : x
  2. Step 2: Convert to fraction form
    232.96/349.47 = 78.89/x
  3. Step 3: Cross multiply
    232.96x = 349.47 × 78.89
  4. Step 4: Simplify right side
    232.96x = 27,570.38
  5. Step 5: Solve for x
    x = 27,570.38/232.96
  6. Step 6: Final answer
    x = 118.35

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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.