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Finding the Fourth Proportional to 255.06, 382.76 and 186.75

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Solution

The fourth proportional to 255.06, 382.76 and 186.75 is: 280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 382.76 = 186.75 : x
  2. Step 2: Convert to fraction form
    255.06/382.76 = 186.75/x
  3. Step 3: Cross multiply
    255.06x = 382.76 × 186.75
  4. Step 4: Simplify right side
    255.06x = 71,480.72
  5. Step 5: Solve for x
    x = 71,480.72/255.06
  6. Step 6: Final answer
    x = 280.26

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