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Finding the Fourth Proportional to 208.71, 313.12 and 71.76

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Solution

The fourth proportional to 208.71, 313.12 and 71.76 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 313.12 = 71.76 : x
  2. Step 2: Convert to fraction form
    208.71/313.12 = 71.76/x
  3. Step 3: Cross multiply
    208.71x = 313.12 × 71.76
  4. Step 4: Simplify right side
    208.71x = 22,470.09
  5. Step 5: Solve for x
    x = 22,470.09/208.71
  6. Step 6: Final answer
    x = 107.66

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