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Finding the Fourth Proportional to 198.53, 273.98 and 110.02

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Solution

The fourth proportional to 198.53, 273.98 and 110.02 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.53 : 273.98 = 110.02 : x
  2. Step 2: Convert to fraction form
    198.53/273.98 = 110.02/x
  3. Step 3: Cross multiply
    198.53x = 273.98 × 110.02
  4. Step 4: Simplify right side
    198.53x = 30,143.28
  5. Step 5: Solve for x
    x = 30,143.28/198.53
  6. Step 6: Final answer
    x = 151.83

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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.