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Finding the Fourth Proportional to 297.27, 445.91 and 91.84

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Solution

The fourth proportional to 297.27, 445.91 and 91.84 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 445.91 = 91.84 : x
  2. Step 2: Convert to fraction form
    297.27/445.91 = 91.84/x
  3. Step 3: Cross multiply
    297.27x = 445.91 × 91.84
  4. Step 4: Simplify right side
    297.27x = 40,952.15
  5. Step 5: Solve for x
    x = 40,952.15/297.27
  6. Step 6: Final answer
    x = 137.76

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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.