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Finding the Fourth Proportional to 306.18, 422.21 and 213.03

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Solution

The fourth proportional to 306.18, 422.21 and 213.03 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 422.21 = 213.03 : x
  2. Step 2: Convert to fraction form
    306.18/422.21 = 213.03/x
  3. Step 3: Cross multiply
    306.18x = 422.21 × 213.03
  4. Step 4: Simplify right side
    306.18x = 89,943.93
  5. Step 5: Solve for x
    x = 89,943.93/306.18
  6. Step 6: Final answer
    x = 293.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.