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Finding the Fourth Proportional to 281.38, 422.04 and 119.02

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Solution

The fourth proportional to 281.38, 422.04 and 119.02 is: 178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 422.04 = 119.02 : x
  2. Step 2: Convert to fraction form
    281.38/422.04 = 119.02/x
  3. Step 3: Cross multiply
    281.38x = 422.04 × 119.02
  4. Step 4: Simplify right side
    281.38x = 50,231.20
  5. Step 5: Solve for x
    x = 50,231.20/281.38
  6. Step 6: Final answer
    x = 178.52

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Why These Related Problems?

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