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Finding the Fourth Proportional to 183.92, 275.87 and 106.84

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Solution

The fourth proportional to 183.92, 275.87 and 106.84 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.92 : 275.87 = 106.84 : x
  2. Step 2: Convert to fraction form
    183.92/275.87 = 106.84/x
  3. Step 3: Cross multiply
    183.92x = 275.87 × 106.84
  4. Step 4: Simplify right side
    183.92x = 29,472.78
  5. Step 5: Solve for x
    x = 29,472.78/183.92
  6. Step 6: Final answer
    x = 160.25

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