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Finding the Fourth Proportional to 217.76, 324.32 and 211.98

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Solution

The fourth proportional to 217.76, 324.32 and 211.98 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 324.32 = 211.98 : x
  2. Step 2: Convert to fraction form
    217.76/324.32 = 211.98/x
  3. Step 3: Cross multiply
    217.76x = 324.32 × 211.98
  4. Step 4: Simplify right side
    217.76x = 68,748.29
  5. Step 5: Solve for x
    x = 68,748.29/217.76
  6. Step 6: Final answer
    x = 315.71

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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.