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Finding the Fourth Proportional to 367, 506.50 and 211.78

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Solution

The fourth proportional to 367, 506.50 and 211.78 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 506.50 = 211.78 : x
  2. Step 2: Convert to fraction form
    367/506.50 = 211.78/x
  3. Step 3: Cross multiply
    367x = 506.50 × 211.78
  4. Step 4: Simplify right side
    367x = 107,266.57
  5. Step 5: Solve for x
    x = 107,266.57/367
  6. Step 6: Final answer
    x = 292.28

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