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Finding the Fourth Proportional to 208, 311.73 and 116.74

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Solution

The fourth proportional to 208, 311.73 and 116.74 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 311.73 = 116.74 : x
  2. Step 2: Convert to fraction form
    208/311.73 = 116.74/x
  3. Step 3: Cross multiply
    208x = 311.73 × 116.74
  4. Step 4: Simplify right side
    208x = 36,391.36
  5. Step 5: Solve for x
    x = 36,391.36/208
  6. Step 6: Final answer
    x = 174.96

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