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Finding the Fourth Proportional to 209.04, 288 and 165.36

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Solution

The fourth proportional to 209.04, 288 and 165.36 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 288 = 165.36 : x
  2. Step 2: Convert to fraction form
    209.04/288 = 165.36/x
  3. Step 3: Cross multiply
    209.04x = 288 × 165.36
  4. Step 4: Simplify right side
    209.04x = 47,623.68
  5. Step 5: Solve for x
    x = 47,623.68/209.04
  6. Step 6: Final answer
    x = 227.82

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