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Finding the Fourth Proportional to 204.76, 306.82 and 96.32

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Solution

The fourth proportional to 204.76, 306.82 and 96.32 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 306.82 = 96.32 : x
  2. Step 2: Convert to fraction form
    204.76/306.82 = 96.32/x
  3. Step 3: Cross multiply
    204.76x = 306.82 × 96.32
  4. Step 4: Simplify right side
    204.76x = 29,553.79
  5. Step 5: Solve for x
    x = 29,553.79/204.76
  6. Step 6: Final answer
    x = 144.33

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