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Finding the Fourth Proportional to 198.36, 273.84 and 120.78

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Solution

The fourth proportional to 198.36, 273.84 and 120.78 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 273.84 = 120.78 : x
  2. Step 2: Convert to fraction form
    198.36/273.84 = 120.78/x
  3. Step 3: Cross multiply
    198.36x = 273.84 × 120.78
  4. Step 4: Simplify right side
    198.36x = 33,074.40
  5. Step 5: Solve for x
    x = 33,074.40/198.36
  6. Step 6: Final answer
    x = 166.74

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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.