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Finding the Fourth Proportional to 206.26, 284.22 and 144.04

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Solution

The fourth proportional to 206.26, 284.22 and 144.04 is: 198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 284.22 = 144.04 : x
  2. Step 2: Convert to fraction form
    206.26/284.22 = 144.04/x
  3. Step 3: Cross multiply
    206.26x = 284.22 × 144.04
  4. Step 4: Simplify right side
    206.26x = 40,939.05
  5. Step 5: Solve for x
    x = 40,939.05/206.26
  6. Step 6: Final answer
    x = 198.48

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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.