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Finding the Fourth Proportional to 337.12, 506.64 and 200.20

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Solution

The fourth proportional to 337.12, 506.64 and 200.20 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 506.64 = 200.20 : x
  2. Step 2: Convert to fraction form
    337.12/506.64 = 200.20/x
  3. Step 3: Cross multiply
    337.12x = 506.64 × 200.20
  4. Step 4: Simplify right side
    337.12x = 101,429.33
  5. Step 5: Solve for x
    x = 101,429.33/337.12
  6. Step 6: Final answer
    x = 300.87

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