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Finding the Fourth Proportional to 306.64, 422.82 and 213.23

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Solution

The fourth proportional to 306.64, 422.82 and 213.23 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 422.82 = 213.23 : x
  2. Step 2: Convert to fraction form
    306.64/422.82 = 213.23/x
  3. Step 3: Cross multiply
    306.64x = 422.82 × 213.23
  4. Step 4: Simplify right side
    306.64x = 90,158.97
  5. Step 5: Solve for x
    x = 90,158.97/306.64
  6. Step 6: Final answer
    x = 294.03

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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.