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Finding the Fourth Proportional to 209.68, 314 and 169.36

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Solution

The fourth proportional to 209.68, 314 and 169.36 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 314 = 169.36 : x
  2. Step 2: Convert to fraction form
    209.68/314 = 169.36/x
  3. Step 3: Cross multiply
    209.68x = 314 × 169.36
  4. Step 4: Simplify right side
    209.68x = 53,179.04
  5. Step 5: Solve for x
    x = 53,179.04/209.68
  6. Step 6: Final answer
    x = 253.62

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