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Finding the Fourth Proportional to 294.89, 442.46 and 112.34

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Solution

The fourth proportional to 294.89, 442.46 and 112.34 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 442.46 = 112.34 : x
  2. Step 2: Convert to fraction form
    294.89/442.46 = 112.34/x
  3. Step 3: Cross multiply
    294.89x = 442.46 × 112.34
  4. Step 4: Simplify right side
    294.89x = 49,705.96
  5. Step 5: Solve for x
    x = 49,705.96/294.89
  6. Step 6: Final answer
    x = 168.56

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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.