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Finding the Fourth Proportional to 208.06, 312 and 79.78

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Solution

The fourth proportional to 208.06, 312 and 79.78 is: 119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 312 = 79.78 : x
  2. Step 2: Convert to fraction form
    208.06/312 = 79.78/x
  3. Step 3: Cross multiply
    208.06x = 312 × 79.78
  4. Step 4: Simplify right side
    208.06x = 24,891.36
  5. Step 5: Solve for x
    x = 24,891.36/208.06
  6. Step 6: Final answer
    x = 119.64

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