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Finding the Fourth Proportional to 171.86, 257.81 and 126.54

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Solution

The fourth proportional to 171.86, 257.81 and 126.54 is: 189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 257.81 = 126.54 : x
  2. Step 2: Convert to fraction form
    171.86/257.81 = 126.54/x
  3. Step 3: Cross multiply
    171.86x = 257.81 × 126.54
  4. Step 4: Simplify right side
    171.86x = 32,622.64
  5. Step 5: Solve for x
    x = 32,622.64/171.86
  6. Step 6: Final answer
    x = 189.83

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