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Finding the Fourth Proportional to 198.24, 296.83 and 161.53

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Solution

The fourth proportional to 198.24, 296.83 and 161.53 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 296.83 = 161.53 : x
  2. Step 2: Convert to fraction form
    198.24/296.83 = 161.53/x
  3. Step 3: Cross multiply
    198.24x = 296.83 × 161.53
  4. Step 4: Simplify right side
    198.24x = 47,944.84
  5. Step 5: Solve for x
    x = 47,944.84/198.24
  6. Step 6: Final answer
    x = 241.85

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