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Finding the Fourth Proportional to 206.34, 284.55 and 144.09

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Solution

The fourth proportional to 206.34, 284.55 and 144.09 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 284.55 = 144.09 : x
  2. Step 2: Convert to fraction form
    206.34/284.55 = 144.09/x
  3. Step 3: Cross multiply
    206.34x = 284.55 × 144.09
  4. Step 4: Simplify right side
    206.34x = 41,000.81
  5. Step 5: Solve for x
    x = 41,000.81/206.34
  6. Step 6: Final answer
    x = 198.71

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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.