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Finding the Fourth Proportional to 206.26, 284.92 and 164.76

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Solution

The fourth proportional to 206.26, 284.92 and 164.76 is: 227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 284.92 = 164.76 : x
  2. Step 2: Convert to fraction form
    206.26/284.92 = 164.76/x
  3. Step 3: Cross multiply
    206.26x = 284.92 × 164.76
  4. Step 4: Simplify right side
    206.26x = 46,943.42
  5. Step 5: Solve for x
    x = 46,943.42/206.26
  6. Step 6: Final answer
    x = 227.59

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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.