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Finding the Fourth Proportional to 206.17, 284.27 and 144.05

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Solution

The fourth proportional to 206.17, 284.27 and 144.05 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.17 : 284.27 = 144.05 : x
  2. Step 2: Convert to fraction form
    206.17/284.27 = 144.05/x
  3. Step 3: Cross multiply
    206.17x = 284.27 × 144.05
  4. Step 4: Simplify right side
    206.17x = 40,946.95
  5. Step 5: Solve for x
    x = 40,946.95/206.17
  6. Step 6: Final answer
    x = 198.61

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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.