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Finding the Fourth Proportional to 330.48, 456.17 and 197.78

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Solution

The fourth proportional to 330.48, 456.17 and 197.78 is: 272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 456.17 = 197.78 : x
  2. Step 2: Convert to fraction form
    330.48/456.17 = 197.78/x
  3. Step 3: Cross multiply
    330.48x = 456.17 × 197.78
  4. Step 4: Simplify right side
    330.48x = 90,218.03
  5. Step 5: Solve for x
    x = 90,218.03/330.48
  6. Step 6: Final answer
    x = 272.99

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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.