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Finding the Fourth Proportional to 281.78, 422.67 and 230.84

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Solution

The fourth proportional to 281.78, 422.67 and 230.84 is: 346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 422.67 = 230.84 : x
  2. Step 2: Convert to fraction form
    281.78/422.67 = 230.84/x
  3. Step 3: Cross multiply
    281.78x = 422.67 × 230.84
  4. Step 4: Simplify right side
    281.78x = 97,569.14
  5. Step 5: Solve for x
    x = 97,569.14/281.78
  6. Step 6: Final answer
    x = 346.26

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