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Finding the Fourth Proportional to 198.97, 298.55 and 102.78

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Solution

The fourth proportional to 198.97, 298.55 and 102.78 is: 154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 298.55 = 102.78 : x
  2. Step 2: Convert to fraction form
    198.97/298.55 = 102.78/x
  3. Step 3: Cross multiply
    198.97x = 298.55 × 102.78
  4. Step 4: Simplify right side
    198.97x = 30,685.23
  5. Step 5: Solve for x
    x = 30,685.23/198.97
  6. Step 6: Final answer
    x = 154.22

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