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Finding the Fourth Proportional to 281.60, 422.08 and 119.20

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Solution

The fourth proportional to 281.60, 422.08 and 119.20 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 422.08 = 119.20 : x
  2. Step 2: Convert to fraction form
    281.60/422.08 = 119.20/x
  3. Step 3: Cross multiply
    281.60x = 422.08 × 119.20
  4. Step 4: Simplify right side
    281.60x = 50,311.94
  5. Step 5: Solve for x
    x = 50,311.94/281.60
  6. Step 6: Final answer
    x = 178.66

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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.