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Finding the Fourth Proportional to 330.60, 456.13 and 197.81

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Solution

The fourth proportional to 330.60, 456.13 and 197.81 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 456.13 = 197.81 : x
  2. Step 2: Convert to fraction form
    330.60/456.13 = 197.81/x
  3. Step 3: Cross multiply
    330.60x = 456.13 × 197.81
  4. Step 4: Simplify right side
    330.60x = 90,227.08
  5. Step 5: Solve for x
    x = 90,227.08/330.60
  6. Step 6: Final answer
    x = 272.92

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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.