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Finding the Fourth Proportional to 297.29, 446.09 and 132.81

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Solution

The fourth proportional to 297.29, 446.09 and 132.81 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.29 : 446.09 = 132.81 : x
  2. Step 2: Convert to fraction form
    297.29/446.09 = 132.81/x
  3. Step 3: Cross multiply
    297.29x = 446.09 × 132.81
  4. Step 4: Simplify right side
    297.29x = 59,243.43
  5. Step 5: Solve for x
    x = 59,243.43/297.29
  6. Step 6: Final answer
    x = 199.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.