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Finding the Fourth Proportional to 205.92, 308.98 and 155.26

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Solution

The fourth proportional to 205.92, 308.98 and 155.26 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 308.98 = 155.26 : x
  2. Step 2: Convert to fraction form
    205.92/308.98 = 155.26/x
  3. Step 3: Cross multiply
    205.92x = 308.98 × 155.26
  4. Step 4: Simplify right side
    205.92x = 47,972.23
  5. Step 5: Solve for x
    x = 47,972.23/205.92
  6. Step 6: Final answer
    x = 232.97

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