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Finding the Fourth Proportional to 208.62, 312.96 and 86.85

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Solution

The fourth proportional to 208.62, 312.96 and 86.85 is: 130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 312.96 = 86.85 : x
  2. Step 2: Convert to fraction form
    208.62/312.96 = 86.85/x
  3. Step 3: Cross multiply
    208.62x = 312.96 × 86.85
  4. Step 4: Simplify right side
    208.62x = 27,181.45
  5. Step 5: Solve for x
    x = 27,181.45/208.62
  6. Step 6: Final answer
    x = 130.29

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