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Finding the Fourth Proportional to 217.86, 324.51 and 206.31

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Solution

The fourth proportional to 217.86, 324.51 and 206.31 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 324.51 = 206.31 : x
  2. Step 2: Convert to fraction form
    217.86/324.51 = 206.31/x
  3. Step 3: Cross multiply
    217.86x = 324.51 × 206.31
  4. Step 4: Simplify right side
    217.86x = 66,949.66
  5. Step 5: Solve for x
    x = 66,949.66/217.86
  6. Step 6: Final answer
    x = 307.31

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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.