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Finding the Fourth Proportional to 461.91, 692.86 and 137.28

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Solution

The fourth proportional to 461.91, 692.86 and 137.28 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 692.86 = 137.28 : x
  2. Step 2: Convert to fraction form
    461.91/692.86 = 137.28/x
  3. Step 3: Cross multiply
    461.91x = 692.86 × 137.28
  4. Step 4: Simplify right side
    461.91x = 95,115.82
  5. Step 5: Solve for x
    x = 95,115.82/461.91
  6. Step 6: Final answer
    x = 205.92

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