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Finding the Fourth Proportional to 206.57, 284.60 and 144.29

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Solution

The fourth proportional to 206.57, 284.60 and 144.29 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 284.60 = 144.29 : x
  2. Step 2: Convert to fraction form
    206.57/284.60 = 144.29/x
  3. Step 3: Cross multiply
    206.57x = 284.60 × 144.29
  4. Step 4: Simplify right side
    206.57x = 41,062.79
  5. Step 5: Solve for x
    x = 41,062.79/206.57
  6. Step 6: Final answer
    x = 198.79

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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.