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Finding the Fourth Proportional to 198, 297.12 and 149.84

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Solution

The fourth proportional to 198, 297.12 and 149.84 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 297.12 = 149.84 : x
  2. Step 2: Convert to fraction form
    198/297.12 = 149.84/x
  3. Step 3: Cross multiply
    198x = 297.12 × 149.84
  4. Step 4: Simplify right side
    198x = 44,520.46
  5. Step 5: Solve for x
    x = 44,520.46/198
  6. Step 6: Final answer
    x = 224.85

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