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Finding the Fourth Proportional to 255.92, 384.08 and 187.44

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Solution

The fourth proportional to 255.92, 384.08 and 187.44 is: 281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.92 : 384.08 = 187.44 : x
  2. Step 2: Convert to fraction form
    255.92/384.08 = 187.44/x
  3. Step 3: Cross multiply
    255.92x = 384.08 × 187.44
  4. Step 4: Simplify right side
    255.92x = 71,991.96
  5. Step 5: Solve for x
    x = 71,991.96/255.92
  6. Step 6: Final answer
    x = 281.31

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