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Finding the Fourth Proportional to 337.66, 465.87 and 197.74

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Solution

The fourth proportional to 337.66, 465.87 and 197.74 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 465.87 = 197.74 : x
  2. Step 2: Convert to fraction form
    337.66/465.87 = 197.74/x
  3. Step 3: Cross multiply
    337.66x = 465.87 × 197.74
  4. Step 4: Simplify right side
    337.66x = 92,121.13
  5. Step 5: Solve for x
    x = 92,121.13/337.66
  6. Step 6: Final answer
    x = 272.82

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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.