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Finding the Fourth Proportional to 198.77, 297.90 and 178.25

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Solution

The fourth proportional to 198.77, 297.90 and 178.25 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 297.90 = 178.25 : x
  2. Step 2: Convert to fraction form
    198.77/297.90 = 178.25/x
  3. Step 3: Cross multiply
    198.77x = 297.90 × 178.25
  4. Step 4: Simplify right side
    198.77x = 53,099.19
  5. Step 5: Solve for x
    x = 53,099.19/198.77
  6. Step 6: Final answer
    x = 267.15

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