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Finding the Fourth Proportional to 255.24, 382.71 and 81.83

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Solution

The fourth proportional to 255.24, 382.71 and 81.83 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 382.71 = 81.83 : x
  2. Step 2: Convert to fraction form
    255.24/382.71 = 81.83/x
  3. Step 3: Cross multiply
    255.24x = 382.71 × 81.83
  4. Step 4: Simplify right side
    255.24x = 31,317.16
  5. Step 5: Solve for x
    x = 31,317.16/255.24
  6. Step 6: Final answer
    x = 122.70

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