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Finding the Fourth Proportional to 217.06, 324.31 and 206.98

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Solution

The fourth proportional to 217.06, 324.31 and 206.98 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 324.31 = 206.98 : x
  2. Step 2: Convert to fraction form
    217.06/324.31 = 206.98/x
  3. Step 3: Cross multiply
    217.06x = 324.31 × 206.98
  4. Step 4: Simplify right side
    217.06x = 67,125.68
  5. Step 5: Solve for x
    x = 67,125.68/217.06
  6. Step 6: Final answer
    x = 309.25

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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.