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Finding the Fourth Proportional to 297.86, 446.79 and 81.44

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Solution

The fourth proportional to 297.86, 446.79 and 81.44 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 446.79 = 81.44 : x
  2. Step 2: Convert to fraction form
    297.86/446.79 = 81.44/x
  3. Step 3: Cross multiply
    297.86x = 446.79 × 81.44
  4. Step 4: Simplify right side
    297.86x = 36,386.10
  5. Step 5: Solve for x
    x = 36,386.10/297.86
  6. Step 6: Final answer
    x = 122.16

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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.