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Finding the Fourth Proportional to 337.32, 465.52 and 197.48

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Solution

The fourth proportional to 337.32, 465.52 and 197.48 is: 272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.32 : 465.52 = 197.48 : x
  2. Step 2: Convert to fraction form
    337.32/465.52 = 197.48/x
  3. Step 3: Cross multiply
    337.32x = 465.52 × 197.48
  4. Step 4: Simplify right side
    337.32x = 91,930.89
  5. Step 5: Solve for x
    x = 91,930.89/337.32
  6. Step 6: Final answer
    x = 272.53

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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.