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Finding the Fourth Proportional to 205.78, 283.82 and 143.72

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Solution

The fourth proportional to 205.78, 283.82 and 143.72 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 283.82 = 143.72 : x
  2. Step 2: Convert to fraction form
    205.78/283.82 = 143.72/x
  3. Step 3: Cross multiply
    205.78x = 283.82 × 143.72
  4. Step 4: Simplify right side
    205.78x = 40,790.61
  5. Step 5: Solve for x
    x = 40,790.61/205.78
  6. Step 6: Final answer
    x = 198.22

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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.