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Finding the Fourth Proportional to 337.56, 465.91 and 197.74

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Solution

The fourth proportional to 337.56, 465.91 and 197.74 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.56 : 465.91 = 197.74 : x
  2. Step 2: Convert to fraction form
    337.56/465.91 = 197.74/x
  3. Step 3: Cross multiply
    337.56x = 465.91 × 197.74
  4. Step 4: Simplify right side
    337.56x = 92,129.13
  5. Step 5: Solve for x
    x = 92,129.13/337.56
  6. Step 6: Final answer
    x = 272.93

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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.