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Finding the Fourth Proportional to 337.74, 465.91 and 197.86

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Solution

The fourth proportional to 337.74, 465.91 and 197.86 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.74 : 465.91 = 197.86 : x
  2. Step 2: Convert to fraction form
    337.74/465.91 = 197.86/x
  3. Step 3: Cross multiply
    337.74x = 465.91 × 197.86
  4. Step 4: Simplify right side
    337.74x = 92,182.62
  5. Step 5: Solve for x
    x = 92,182.62/337.74
  6. Step 6: Final answer
    x = 272.94

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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.