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Finding the Fourth Proportional to 337.71, 466.18 and 197.96

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Solution

The fourth proportional to 337.71, 466.18 and 197.96 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 466.18 = 197.96 : x
  2. Step 2: Convert to fraction form
    337.71/466.18 = 197.96/x
  3. Step 3: Cross multiply
    337.71x = 466.18 × 197.96
  4. Step 4: Simplify right side
    337.71x = 92,284.99
  5. Step 5: Solve for x
    x = 92,284.99/337.71
  6. Step 6: Final answer
    x = 273.27

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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.