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Finding the Fourth Proportional to 198.25, 273.59 and 110.92

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Solution

The fourth proportional to 198.25, 273.59 and 110.92 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 273.59 = 110.92 : x
  2. Step 2: Convert to fraction form
    198.25/273.59 = 110.92/x
  3. Step 3: Cross multiply
    198.25x = 273.59 × 110.92
  4. Step 4: Simplify right side
    198.25x = 30,346.05
  5. Step 5: Solve for x
    x = 30,346.05/198.25
  6. Step 6: Final answer
    x = 153.07

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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.