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Finding the Fourth Proportional to 206.18, 284.37 and 159.35

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Solution

The fourth proportional to 206.18, 284.37 and 159.35 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 284.37 = 159.35 : x
  2. Step 2: Convert to fraction form
    206.18/284.37 = 159.35/x
  3. Step 3: Cross multiply
    206.18x = 284.37 × 159.35
  4. Step 4: Simplify right side
    206.18x = 45,314.47
  5. Step 5: Solve for x
    x = 45,314.47/206.18
  6. Step 6: Final answer
    x = 219.78

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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.