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Finding the Fourth Proportional to 171.02, 256.43 and 116.17

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Solution

The fourth proportional to 171.02, 256.43 and 116.17 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 256.43 = 116.17 : x
  2. Step 2: Convert to fraction form
    171.02/256.43 = 116.17/x
  3. Step 3: Cross multiply
    171.02x = 256.43 × 116.17
  4. Step 4: Simplify right side
    171.02x = 29,789.47
  5. Step 5: Solve for x
    x = 29,789.47/171.02
  6. Step 6: Final answer
    x = 174.19

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