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Finding the Fourth Proportional to 198.62, 273.94 and 136.36

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Solution

The fourth proportional to 198.62, 273.94 and 136.36 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.62 : 273.94 = 136.36 : x
  2. Step 2: Convert to fraction form
    198.62/273.94 = 136.36/x
  3. Step 3: Cross multiply
    198.62x = 273.94 × 136.36
  4. Step 4: Simplify right side
    198.62x = 37,352.92
  5. Step 5: Solve for x
    x = 37,352.92/198.62
  6. Step 6: Final answer
    x = 188.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.