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Finding the Fourth Proportional to 217.12, 324.88 and 204.96

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Solution

The fourth proportional to 217.12, 324.88 and 204.96 is: 306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.12 : 324.88 = 204.96 : x
  2. Step 2: Convert to fraction form
    217.12/324.88 = 204.96/x
  3. Step 3: Cross multiply
    217.12x = 324.88 × 204.96
  4. Step 4: Simplify right side
    217.12x = 66,587.40
  5. Step 5: Solve for x
    x = 66,587.40/217.12
  6. Step 6: Final answer
    x = 306.68

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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.