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Finding the Fourth Proportional to 337.67, 465.93 and 197.81

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Solution

The fourth proportional to 337.67, 465.93 and 197.81 is: 272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.67 : 465.93 = 197.81 : x
  2. Step 2: Convert to fraction form
    337.67/465.93 = 197.81/x
  3. Step 3: Cross multiply
    337.67x = 465.93 × 197.81
  4. Step 4: Simplify right side
    337.67x = 92,165.61
  5. Step 5: Solve for x
    x = 92,165.61/337.67
  6. Step 6: Final answer
    x = 272.95

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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.