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Finding the Fourth Proportional to 643.30, 964.83 and 180.96

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Solution

The fourth proportional to 643.30, 964.83 and 180.96 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.30 : 964.83 = 180.96 : x
  2. Step 2: Convert to fraction form
    643.30/964.83 = 180.96/x
  3. Step 3: Cross multiply
    643.30x = 964.83 × 180.96
  4. Step 4: Simplify right side
    643.30x = 174,597.60
  5. Step 5: Solve for x
    x = 174,597.60/643.30
  6. Step 6: Final answer
    x = 271.41

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