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Finding the Fourth Proportional to 257.92, 387 and 113.80

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Solution

The fourth proportional to 257.92, 387 and 113.80 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 387 = 113.80 : x
  2. Step 2: Convert to fraction form
    257.92/387 = 113.80/x
  3. Step 3: Cross multiply
    257.92x = 387 × 113.80
  4. Step 4: Simplify right side
    257.92x = 44,040.60
  5. Step 5: Solve for x
    x = 44,040.60/257.92
  6. Step 6: Final answer
    x = 170.75

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