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Finding the Fourth Proportional to 461.91, 692.97 and 137.27

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Solution

The fourth proportional to 461.91, 692.97 and 137.27 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 692.97 = 137.27 : x
  2. Step 2: Convert to fraction form
    461.91/692.97 = 137.27/x
  3. Step 3: Cross multiply
    461.91x = 692.97 × 137.27
  4. Step 4: Simplify right side
    461.91x = 95,123.99
  5. Step 5: Solve for x
    x = 95,123.99/461.91
  6. Step 6: Final answer
    x = 205.94

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