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Finding the Fourth Proportional to 217.22, 299.83 and 206.20

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Solution

The fourth proportional to 217.22, 299.83 and 206.20 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 299.83 = 206.20 : x
  2. Step 2: Convert to fraction form
    217.22/299.83 = 206.20/x
  3. Step 3: Cross multiply
    217.22x = 299.83 × 206.20
  4. Step 4: Simplify right side
    217.22x = 61,822.42
  5. Step 5: Solve for x
    x = 61,822.42/217.22
  6. Step 6: Final answer
    x = 284.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.