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Finding the Fourth Proportional to 208, 311.96 and 77.99

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Solution

The fourth proportional to 208, 311.96 and 77.99 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 311.96 = 77.99 : x
  2. Step 2: Convert to fraction form
    208/311.96 = 77.99/x
  3. Step 3: Cross multiply
    208x = 311.96 × 77.99
  4. Step 4: Simplify right side
    208x = 24,329.76
  5. Step 5: Solve for x
    x = 24,329.76/208
  6. Step 6: Final answer
    x = 116.97

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