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Finding the Fourth Proportional to 198.30, 273.62 and 110.96

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Solution

The fourth proportional to 198.30, 273.62 and 110.96 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 273.62 = 110.96 : x
  2. Step 2: Convert to fraction form
    198.30/273.62 = 110.96/x
  3. Step 3: Cross multiply
    198.30x = 273.62 × 110.96
  4. Step 4: Simplify right side
    198.30x = 30,358.95
  5. Step 5: Solve for x
    x = 30,358.95/198.30
  6. Step 6: Final answer
    x = 153.10

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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.