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Finding the Fourth Proportional to 337.29, 465.48 and 197.46

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Solution

The fourth proportional to 337.29, 465.48 and 197.46 is: 272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.29 : 465.48 = 197.46 : x
  2. Step 2: Convert to fraction form
    337.29/465.48 = 197.46/x
  3. Step 3: Cross multiply
    337.29x = 465.48 × 197.46
  4. Step 4: Simplify right side
    337.29x = 91,913.68
  5. Step 5: Solve for x
    x = 91,913.68/337.29
  6. Step 6: Final answer
    x = 272.51

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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.