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Finding the Fourth Proportional to 254.26, 380.78 and 180.96

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Solution

The fourth proportional to 254.26, 380.78 and 180.96 is: 271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 380.78 = 180.96 : x
  2. Step 2: Convert to fraction form
    254.26/380.78 = 180.96/x
  3. Step 3: Cross multiply
    254.26x = 380.78 × 180.96
  4. Step 4: Simplify right side
    254.26x = 68,905.95
  5. Step 5: Solve for x
    x = 68,905.95/254.26
  6. Step 6: Final answer
    x = 271.01

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