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Finding the Fourth Proportional to 281.67, 422.33 and 119.25

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Solution

The fourth proportional to 281.67, 422.33 and 119.25 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.67 : 422.33 = 119.25 : x
  2. Step 2: Convert to fraction form
    281.67/422.33 = 119.25/x
  3. Step 3: Cross multiply
    281.67x = 422.33 × 119.25
  4. Step 4: Simplify right side
    281.67x = 50,362.26
  5. Step 5: Solve for x
    x = 50,362.26/281.67
  6. Step 6: Final answer
    x = 178.80

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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.