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Finding the Fourth Proportional to 546.82, 820.27 and 181.86

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Solution

The fourth proportional to 546.82, 820.27 and 181.86 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 820.27 = 181.86 : x
  2. Step 2: Convert to fraction form
    546.82/820.27 = 181.86/x
  3. Step 3: Cross multiply
    546.82x = 820.27 × 181.86
  4. Step 4: Simplify right side
    546.82x = 149,173.39
  5. Step 5: Solve for x
    x = 149,173.39/546.82
  6. Step 6: Final answer
    x = 272.80

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