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Finding the Fourth Proportional to 205.70, 283.37 and 143.42

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Solution

The fourth proportional to 205.70, 283.37 and 143.42 is: 197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 283.37 = 143.42 : x
  2. Step 2: Convert to fraction form
    205.70/283.37 = 143.42/x
  3. Step 3: Cross multiply
    205.70x = 283.37 × 143.42
  4. Step 4: Simplify right side
    205.70x = 40,640.93
  5. Step 5: Solve for x
    x = 40,640.93/205.70
  6. Step 6: Final answer
    x = 197.57

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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.