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Finding the Fourth Proportional to 217.22, 323.94 and 206.48

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Solution

The fourth proportional to 217.22, 323.94 and 206.48 is: 307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 323.94 = 206.48 : x
  2. Step 2: Convert to fraction form
    217.22/323.94 = 206.48/x
  3. Step 3: Cross multiply
    217.22x = 323.94 × 206.48
  4. Step 4: Simplify right side
    217.22x = 66,885.51
  5. Step 5: Solve for x
    x = 66,885.51/217.22
  6. Step 6: Final answer
    x = 307.92

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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.