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Finding the Fourth Proportional to 221.78, 305.96 and 138.83

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Solution

The fourth proportional to 221.78, 305.96 and 138.83 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 305.96 = 138.83 : x
  2. Step 2: Convert to fraction form
    221.78/305.96 = 138.83/x
  3. Step 3: Cross multiply
    221.78x = 305.96 × 138.83
  4. Step 4: Simplify right side
    221.78x = 42,474.20
  5. Step 5: Solve for x
    x = 42,474.20/221.78
  6. Step 6: Final answer
    x = 191.52

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