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Finding the Fourth Proportional to 255.78, 353.10 and 168.42

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Solution

The fourth proportional to 255.78, 353.10 and 168.42 is: 232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 353.10 = 168.42 : x
  2. Step 2: Convert to fraction form
    255.78/353.10 = 168.42/x
  3. Step 3: Cross multiply
    255.78x = 353.10 × 168.42
  4. Step 4: Simplify right side
    255.78x = 59,469.10
  5. Step 5: Solve for x
    x = 59,469.10/255.78
  6. Step 6: Final answer
    x = 232.50

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