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Finding the Fourth Proportional to 297.27, 446.02 and 134.91

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Solution

The fourth proportional to 297.27, 446.02 and 134.91 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 446.02 = 134.91 : x
  2. Step 2: Convert to fraction form
    297.27/446.02 = 134.91/x
  3. Step 3: Cross multiply
    297.27x = 446.02 × 134.91
  4. Step 4: Simplify right side
    297.27x = 60,173.72
  5. Step 5: Solve for x
    x = 60,173.72/297.27
  6. Step 6: Final answer
    x = 202.42

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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.