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Finding the Fourth Proportional to 255.11, 382.82 and 110.84

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Solution

The fourth proportional to 255.11, 382.82 and 110.84 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 382.82 = 110.84 : x
  2. Step 2: Convert to fraction form
    255.11/382.82 = 110.84/x
  3. Step 3: Cross multiply
    255.11x = 382.82 × 110.84
  4. Step 4: Simplify right side
    255.11x = 42,429.30
  5. Step 5: Solve for x
    x = 42,429.30/255.11
  6. Step 6: Final answer
    x = 166.32

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