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Finding the Fourth Proportional to 258.54, 387.79 and 75.94

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Solution

The fourth proportional to 258.54, 387.79 and 75.94 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 387.79 = 75.94 : x
  2. Step 2: Convert to fraction form
    258.54/387.79 = 75.94/x
  3. Step 3: Cross multiply
    258.54x = 387.79 × 75.94
  4. Step 4: Simplify right side
    258.54x = 29,447.61
  5. Step 5: Solve for x
    x = 29,447.61/258.54
  6. Step 6: Final answer
    x = 113.90

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