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Finding the Fourth Proportional to 198.44, 273.84 and 111.12

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Solution

The fourth proportional to 198.44, 273.84 and 111.12 is: 153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 273.84 = 111.12 : x
  2. Step 2: Convert to fraction form
    198.44/273.84 = 111.12/x
  3. Step 3: Cross multiply
    198.44x = 273.84 × 111.12
  4. Step 4: Simplify right side
    198.44x = 30,429.10
  5. Step 5: Solve for x
    x = 30,429.10/198.44
  6. Step 6: Final answer
    x = 153.34

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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.