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Finding the Fourth Proportional to 206.06, 284.13 and 159.44

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Solution

The fourth proportional to 206.06, 284.13 and 159.44 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 284.13 = 159.44 : x
  2. Step 2: Convert to fraction form
    206.06/284.13 = 159.44/x
  3. Step 3: Cross multiply
    206.06x = 284.13 × 159.44
  4. Step 4: Simplify right side
    206.06x = 45,300.27
  5. Step 5: Solve for x
    x = 45,300.27/206.06
  6. Step 6: Final answer
    x = 219.85

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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.