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Finding the Fourth Proportional to 546.34, 819.52 and 181.12

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Solution

The fourth proportional to 546.34, 819.52 and 181.12 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 819.52 = 181.12 : x
  2. Step 2: Convert to fraction form
    546.34/819.52 = 181.12/x
  3. Step 3: Cross multiply
    546.34x = 819.52 × 181.12
  4. Step 4: Simplify right side
    546.34x = 148,431.46
  5. Step 5: Solve for x
    x = 148,431.46/546.34
  6. Step 6: Final answer
    x = 271.68

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