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Finding the Fourth Proportional to 206.96, 284.72 and 163.22

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Solution

The fourth proportional to 206.96, 284.72 and 163.22 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 284.72 = 163.22 : x
  2. Step 2: Convert to fraction form
    206.96/284.72 = 163.22/x
  3. Step 3: Cross multiply
    206.96x = 284.72 × 163.22
  4. Step 4: Simplify right side
    206.96x = 46,469.76
  5. Step 5: Solve for x
    x = 46,469.76/206.96
  6. Step 6: Final answer
    x = 224.54

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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.