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Finding the Fourth Proportional to 281.76, 421.92 and 200.16

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Solution

The fourth proportional to 281.76, 421.92 and 200.16 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 421.92 = 200.16 : x
  2. Step 2: Convert to fraction form
    281.76/421.92 = 200.16/x
  3. Step 3: Cross multiply
    281.76x = 421.92 × 200.16
  4. Step 4: Simplify right side
    281.76x = 84,451.51
  5. Step 5: Solve for x
    x = 84,451.51/281.76
  6. Step 6: Final answer
    x = 299.73

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