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Finding the Fourth Proportional to 281.24, 421.64 and 107.80

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Solution

The fourth proportional to 281.24, 421.64 and 107.80 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 421.64 = 107.80 : x
  2. Step 2: Convert to fraction form
    281.24/421.64 = 107.80/x
  3. Step 3: Cross multiply
    281.24x = 421.64 × 107.80
  4. Step 4: Simplify right side
    281.24x = 45,452.79
  5. Step 5: Solve for x
    x = 45,452.79/281.24
  6. Step 6: Final answer
    x = 161.62

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