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Finding the Fourth Proportional to 171.85, 257.15 and 106.79

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Solution

The fourth proportional to 171.85, 257.15 and 106.79 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.85 : 257.15 = 106.79 : x
  2. Step 2: Convert to fraction form
    171.85/257.15 = 106.79/x
  3. Step 3: Cross multiply
    171.85x = 257.15 × 106.79
  4. Step 4: Simplify right side
    171.85x = 27,461.05
  5. Step 5: Solve for x
    x = 27,461.05/171.85
  6. Step 6: Final answer
    x = 159.80

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