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Finding the Fourth Proportional to 255.86, 383.80 and 169.75

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Solution

The fourth proportional to 255.86, 383.80 and 169.75 is: 254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 383.80 = 169.75 : x
  2. Step 2: Convert to fraction form
    255.86/383.80 = 169.75/x
  3. Step 3: Cross multiply
    255.86x = 383.80 × 169.75
  4. Step 4: Simplify right side
    255.86x = 65,150.05
  5. Step 5: Solve for x
    x = 65,150.05/255.86
  6. Step 6: Final answer
    x = 254.63

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