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Finding the Fourth Proportional to 198.48, 273.84 and 159.60

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Solution

The fourth proportional to 198.48, 273.84 and 159.60 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 273.84 = 159.60 : x
  2. Step 2: Convert to fraction form
    198.48/273.84 = 159.60/x
  3. Step 3: Cross multiply
    198.48x = 273.84 × 159.60
  4. Step 4: Simplify right side
    198.48x = 43,704.86
  5. Step 5: Solve for x
    x = 43,704.86/198.48
  6. Step 6: Final answer
    x = 220.20

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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.