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Finding the Fourth Proportional to 209.76, 314.60 and 79.78

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Solution

The fourth proportional to 209.76, 314.60 and 79.78 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 314.60 = 79.78 : x
  2. Step 2: Convert to fraction form
    209.76/314.60 = 79.78/x
  3. Step 3: Cross multiply
    209.76x = 314.60 × 79.78
  4. Step 4: Simplify right side
    209.76x = 25,098.79
  5. Step 5: Solve for x
    x = 25,098.79/209.76
  6. Step 6: Final answer
    x = 119.65

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