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Finding the Fourth Proportional to 255.06, 382.56 and 110.76

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Solution

The fourth proportional to 255.06, 382.56 and 110.76 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 382.56 = 110.76 : x
  2. Step 2: Convert to fraction form
    255.06/382.56 = 110.76/x
  3. Step 3: Cross multiply
    255.06x = 382.56 × 110.76
  4. Step 4: Simplify right side
    255.06x = 42,372.35
  5. Step 5: Solve for x
    x = 42,372.35/255.06
  6. Step 6: Final answer
    x = 166.13

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