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Finding the Fourth Proportional to 223.82, 335.67 and 146.78

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Solution

The fourth proportional to 223.82, 335.67 and 146.78 is: 220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.82 : 335.67 = 146.78 : x
  2. Step 2: Convert to fraction form
    223.82/335.67 = 146.78/x
  3. Step 3: Cross multiply
    223.82x = 335.67 × 146.78
  4. Step 4: Simplify right side
    223.82x = 49,269.93
  5. Step 5: Solve for x
    x = 49,269.93/223.82
  6. Step 6: Final answer
    x = 220.13

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