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Finding the Fourth Proportional to 297.34, 446.02 and 91.91

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Solution

The fourth proportional to 297.34, 446.02 and 91.91 is: 137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.34 : 446.02 = 91.91 : x
  2. Step 2: Convert to fraction form
    297.34/446.02 = 91.91/x
  3. Step 3: Cross multiply
    297.34x = 446.02 × 91.91
  4. Step 4: Simplify right side
    297.34x = 40,993.46
  5. Step 5: Solve for x
    x = 40,993.46/297.34
  6. Step 6: Final answer
    x = 137.87

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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.