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Finding the Fourth Proportional to 281.35, 422.03 and 213.01

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Solution

The fourth proportional to 281.35, 422.03 and 213.01 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.35 : 422.03 = 213.01 : x
  2. Step 2: Convert to fraction form
    281.35/422.03 = 213.01/x
  3. Step 3: Cross multiply
    281.35x = 422.03 × 213.01
  4. Step 4: Simplify right side
    281.35x = 89,896.09
  5. Step 5: Solve for x
    x = 89,896.09/281.35
  6. Step 6: Final answer
    x = 319.52

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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.