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Finding the Fourth Proportional to 461.91, 692.64 and 187.85

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Solution

The fourth proportional to 461.91, 692.64 and 187.85 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 692.64 = 187.85 : x
  2. Step 2: Convert to fraction form
    461.91/692.64 = 187.85/x
  3. Step 3: Cross multiply
    461.91x = 692.64 × 187.85
  4. Step 4: Simplify right side
    461.91x = 130,114.16
  5. Step 5: Solve for x
    x = 130,114.16/461.91
  6. Step 6: Final answer
    x = 281.68

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