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Finding the Fourth Proportional to 206.12, 284.27 and 143.84

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Solution

The fourth proportional to 206.12, 284.27 and 143.84 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 284.27 = 143.84 : x
  2. Step 2: Convert to fraction form
    206.12/284.27 = 143.84/x
  3. Step 3: Cross multiply
    206.12x = 284.27 × 143.84
  4. Step 4: Simplify right side
    206.12x = 40,889.39
  5. Step 5: Solve for x
    x = 40,889.39/206.12
  6. Step 6: Final answer
    x = 198.37

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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.