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Finding the Fourth Proportional to 206.28, 284.08 and 164.71

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Solution

The fourth proportional to 206.28, 284.08 and 164.71 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 284.08 = 164.71 : x
  2. Step 2: Convert to fraction form
    206.28/284.08 = 164.71/x
  3. Step 3: Cross multiply
    206.28x = 284.08 × 164.71
  4. Step 4: Simplify right side
    206.28x = 46,790.73
  5. Step 5: Solve for x
    x = 46,790.73/206.28
  6. Step 6: Final answer
    x = 226.83

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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.