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Finding the Fourth Proportional to 546.26, 819.21 and 180.96

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Solution

The fourth proportional to 546.26, 819.21 and 180.96 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.26 : 819.21 = 180.96 : x
  2. Step 2: Convert to fraction form
    546.26/819.21 = 180.96/x
  3. Step 3: Cross multiply
    546.26x = 819.21 × 180.96
  4. Step 4: Simplify right side
    546.26x = 148,244.24
  5. Step 5: Solve for x
    x = 148,244.24/546.26
  6. Step 6: Final answer
    x = 271.38

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