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Finding the Fourth Proportional to 178.44, 267.92 and 109.76

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Solution

The fourth proportional to 178.44, 267.92 and 109.76 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 267.92 = 109.76 : x
  2. Step 2: Convert to fraction form
    178.44/267.92 = 109.76/x
  3. Step 3: Cross multiply
    178.44x = 267.92 × 109.76
  4. Step 4: Simplify right side
    178.44x = 29,405.01
  5. Step 5: Solve for x
    x = 29,405.01/178.44
  6. Step 6: Final answer
    x = 164.79

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