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Finding the Fourth Proportional to 281.84, 422.74 and 199.23

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Solution

The fourth proportional to 281.84, 422.74 and 199.23 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 422.74 = 199.23 : x
  2. Step 2: Convert to fraction form
    281.84/422.74 = 199.23/x
  3. Step 3: Cross multiply
    281.84x = 422.74 × 199.23
  4. Step 4: Simplify right side
    281.84x = 84,222.49
  5. Step 5: Solve for x
    x = 84,222.49/281.84
  6. Step 6: Final answer
    x = 298.83

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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.