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Finding the Fourth Proportional to 506.85, 759.96 and 198.84

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Solution

The fourth proportional to 506.85, 759.96 and 198.84 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.85 : 759.96 = 198.84 : x
  2. Step 2: Convert to fraction form
    506.85/759.96 = 198.84/x
  3. Step 3: Cross multiply
    506.85x = 759.96 × 198.84
  4. Step 4: Simplify right side
    506.85x = 151,113.30
  5. Step 5: Solve for x
    x = 151,113.30/506.85
  6. Step 6: Final answer
    x = 298.14

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