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Finding the Fourth Proportional to 213.27, 319.82 and 97.71

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Solution

The fourth proportional to 213.27, 319.82 and 97.71 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 319.82 = 97.71 : x
  2. Step 2: Convert to fraction form
    213.27/319.82 = 97.71/x
  3. Step 3: Cross multiply
    213.27x = 319.82 × 97.71
  4. Step 4: Simplify right side
    213.27x = 31,249.12
  5. Step 5: Solve for x
    x = 31,249.12/213.27
  6. Step 6: Final answer
    x = 146.52

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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.