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Finding the Fourth Proportional to 281.90, 422.64 and 160

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Solution

The fourth proportional to 281.90, 422.64 and 160 is: 239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 422.64 = 160 : x
  2. Step 2: Convert to fraction form
    281.90/422.64 = 160/x
  3. Step 3: Cross multiply
    281.90x = 422.64 × 160
  4. Step 4: Simplify right side
    281.90x = 67,622.40
  5. Step 5: Solve for x
    x = 67,622.40/281.90
  6. Step 6: Final answer
    x = 239.88

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