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Finding the Fourth Proportional to 337.91, 466.37 and 198.09

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Solution

The fourth proportional to 337.91, 466.37 and 198.09 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.91 : 466.37 = 198.09 : x
  2. Step 2: Convert to fraction form
    337.91/466.37 = 198.09/x
  3. Step 3: Cross multiply
    337.91x = 466.37 × 198.09
  4. Step 4: Simplify right side
    337.91x = 92,382.24
  5. Step 5: Solve for x
    x = 92,382.24/337.91
  6. Step 6: Final answer
    x = 273.40

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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.