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Finding the Fourth Proportional to 542.60, 814 and 195.96

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Solution

The fourth proportional to 542.60, 814 and 195.96 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 814 = 195.96 : x
  2. Step 2: Convert to fraction form
    542.60/814 = 195.96/x
  3. Step 3: Cross multiply
    542.60x = 814 × 195.96
  4. Step 4: Simplify right side
    542.60x = 159,511.44
  5. Step 5: Solve for x
    x = 159,511.44/542.60
  6. Step 6: Final answer
    x = 293.98

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