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Finding the Fourth Proportional to 367.06, 506.50 and 209.70

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Solution

The fourth proportional to 367.06, 506.50 and 209.70 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 506.50 = 209.70 : x
  2. Step 2: Convert to fraction form
    367.06/506.50 = 209.70/x
  3. Step 3: Cross multiply
    367.06x = 506.50 × 209.70
  4. Step 4: Simplify right side
    367.06x = 106,213.05
  5. Step 5: Solve for x
    x = 106,213.05/367.06
  6. Step 6: Final answer
    x = 289.36

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