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Finding the Fourth Proportional to 149.92, 224.86 and 77.76

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Solution

The fourth proportional to 149.92, 224.86 and 77.76 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 224.86 = 77.76 : x
  2. Step 2: Convert to fraction form
    149.92/224.86 = 77.76/x
  3. Step 3: Cross multiply
    149.92x = 224.86 × 77.76
  4. Step 4: Simplify right side
    149.92x = 17,485.11
  5. Step 5: Solve for x
    x = 17,485.11/149.92
  6. Step 6: Final answer
    x = 116.63

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