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Finding the Fourth Proportional to 461.81, 692.83 and 137.18

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Solution

The fourth proportional to 461.81, 692.83 and 137.18 is: 205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 692.83 = 137.18 : x
  2. Step 2: Convert to fraction form
    461.81/692.83 = 137.18/x
  3. Step 3: Cross multiply
    461.81x = 692.83 × 137.18
  4. Step 4: Simplify right side
    461.81x = 95,042.42
  5. Step 5: Solve for x
    x = 95,042.42/461.81
  6. Step 6: Final answer
    x = 205.80

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