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Finding the Fourth Proportional to 214.43, 321.91 and 213.44

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Solution

The fourth proportional to 214.43, 321.91 and 213.44 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.43 : 321.91 = 213.44 : x
  2. Step 2: Convert to fraction form
    214.43/321.91 = 213.44/x
  3. Step 3: Cross multiply
    214.43x = 321.91 × 213.44
  4. Step 4: Simplify right side
    214.43x = 68,707.69
  5. Step 5: Solve for x
    x = 68,707.69/214.43
  6. Step 6: Final answer
    x = 320.43

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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.