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Finding the Fourth Proportional to 294.96, 442.56 and 112.44

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Solution

The fourth proportional to 294.96, 442.56 and 112.44 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 442.56 = 112.44 : x
  2. Step 2: Convert to fraction form
    294.96/442.56 = 112.44/x
  3. Step 3: Cross multiply
    294.96x = 442.56 × 112.44
  4. Step 4: Simplify right side
    294.96x = 49,761.45
  5. Step 5: Solve for x
    x = 49,761.45/294.96
  6. Step 6: Final answer
    x = 168.71

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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.