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Finding the Fourth Proportional to 165.14, 247.74 and 113.84

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Solution

The fourth proportional to 165.14, 247.74 and 113.84 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 247.74 = 113.84 : x
  2. Step 2: Convert to fraction form
    165.14/247.74 = 113.84/x
  3. Step 3: Cross multiply
    165.14x = 247.74 × 113.84
  4. Step 4: Simplify right side
    165.14x = 28,202.72
  5. Step 5: Solve for x
    x = 28,202.72/165.14
  6. Step 6: Final answer
    x = 170.78

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