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Finding the Fourth Proportional to 208.86, 313.10 and 78.76

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Solution

The fourth proportional to 208.86, 313.10 and 78.76 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 313.10 = 78.76 : x
  2. Step 2: Convert to fraction form
    208.86/313.10 = 78.76/x
  3. Step 3: Cross multiply
    208.86x = 313.10 × 78.76
  4. Step 4: Simplify right side
    208.86x = 24,659.76
  5. Step 5: Solve for x
    x = 24,659.76/208.86
  6. Step 6: Final answer
    x = 118.07

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