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Finding the Fourth Proportional to 297.66, 446.45 and 81.22

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Solution

The fourth proportional to 297.66, 446.45 and 81.22 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 446.45 = 81.22 : x
  2. Step 2: Convert to fraction form
    297.66/446.45 = 81.22/x
  3. Step 3: Cross multiply
    297.66x = 446.45 × 81.22
  4. Step 4: Simplify right side
    297.66x = 36,260.67
  5. Step 5: Solve for x
    x = 36,260.67/297.66
  6. Step 6: Final answer
    x = 121.82

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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.