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Finding the Fourth Proportional to 337.92, 466.22 and 198.02

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Solution

The fourth proportional to 337.92, 466.22 and 198.02 is: 273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 466.22 = 198.02 : x
  2. Step 2: Convert to fraction form
    337.92/466.22 = 198.02/x
  3. Step 3: Cross multiply
    337.92x = 466.22 × 198.02
  4. Step 4: Simplify right side
    337.92x = 92,317.56
  5. Step 5: Solve for x
    x = 92,317.56/337.92
  6. Step 6: Final answer
    x = 273.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.