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Finding the Fourth Proportional to 281.88, 422.54 and 159.89

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Solution

The fourth proportional to 281.88, 422.54 and 159.89 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 422.54 = 159.89 : x
  2. Step 2: Convert to fraction form
    281.88/422.54 = 159.89/x
  3. Step 3: Cross multiply
    281.88x = 422.54 × 159.89
  4. Step 4: Simplify right side
    281.88x = 67,559.92
  5. Step 5: Solve for x
    x = 67,559.92/281.88
  6. Step 6: Final answer
    x = 239.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.