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Finding the Fourth Proportional to 205.68, 308 and 165.36

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Solution

The fourth proportional to 205.68, 308 and 165.36 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 308 = 165.36 : x
  2. Step 2: Convert to fraction form
    205.68/308 = 165.36/x
  3. Step 3: Cross multiply
    205.68x = 308 × 165.36
  4. Step 4: Simplify right side
    205.68x = 50,930.88
  5. Step 5: Solve for x
    x = 50,930.88/205.68
  6. Step 6: Final answer
    x = 247.62

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