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Finding the Fourth Proportional to 171.78, 257.73 and 75.60

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Solution

The fourth proportional to 171.78, 257.73 and 75.60 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 257.73 = 75.60 : x
  2. Step 2: Convert to fraction form
    171.78/257.73 = 75.60/x
  3. Step 3: Cross multiply
    171.78x = 257.73 × 75.60
  4. Step 4: Simplify right side
    171.78x = 19,484.39
  5. Step 5: Solve for x
    x = 19,484.39/171.78
  6. Step 6: Final answer
    x = 113.43

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