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Finding the Fourth Proportional to 214.69, 319.45 and 213.97

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Solution

The fourth proportional to 214.69, 319.45 and 213.97 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 319.45 = 213.97 : x
  2. Step 2: Convert to fraction form
    214.69/319.45 = 213.97/x
  3. Step 3: Cross multiply
    214.69x = 319.45 × 213.97
  4. Step 4: Simplify right side
    214.69x = 68,353.25
  5. Step 5: Solve for x
    x = 68,353.25/214.69
  6. Step 6: Final answer
    x = 318.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.