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Finding the Fourth Proportional to 166.86, 249.81 and 109.74

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Solution

The fourth proportional to 166.86, 249.81 and 109.74 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 249.81 = 109.74 : x
  2. Step 2: Convert to fraction form
    166.86/249.81 = 109.74/x
  3. Step 3: Cross multiply
    166.86x = 249.81 × 109.74
  4. Step 4: Simplify right side
    166.86x = 27,414.15
  5. Step 5: Solve for x
    x = 27,414.15/166.86
  6. Step 6: Final answer
    x = 164.29

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