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Finding the Fourth Proportional to 198.08, 295.75 and 185.78

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Solution

The fourth proportional to 198.08, 295.75 and 185.78 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 295.75 = 185.78 : x
  2. Step 2: Convert to fraction form
    198.08/295.75 = 185.78/x
  3. Step 3: Cross multiply
    198.08x = 295.75 × 185.78
  4. Step 4: Simplify right side
    198.08x = 54,942.70
  5. Step 5: Solve for x
    x = 54,942.70/198.08
  6. Step 6: Final answer
    x = 277.38

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