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Finding the Fourth Proportional to 206.10, 284.67 and 164.23

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Solution

The fourth proportional to 206.10, 284.67 and 164.23 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 284.67 = 164.23 : x
  2. Step 2: Convert to fraction form
    206.10/284.67 = 164.23/x
  3. Step 3: Cross multiply
    206.10x = 284.67 × 164.23
  4. Step 4: Simplify right side
    206.10x = 46,751.09
  5. Step 5: Solve for x
    x = 46,751.09/206.10
  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.