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Finding the Fourth Proportional to 171.97, 257.78 and 106.77

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Solution

The fourth proportional to 171.97, 257.78 and 106.77 is: 160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.97 : 257.78 = 106.77 : x
  2. Step 2: Convert to fraction form
    171.97/257.78 = 106.77/x
  3. Step 3: Cross multiply
    171.97x = 257.78 × 106.77
  4. Step 4: Simplify right side
    171.97x = 27,522.95
  5. Step 5: Solve for x
    x = 27,522.95/171.97
  6. Step 6: Final answer
    x = 160.04

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