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Finding the Fourth Proportional to 205.89, 283.64 and 143.61

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Solution

The fourth proportional to 205.89, 283.64 and 143.61 is: 197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 283.64 = 143.61 : x
  2. Step 2: Convert to fraction form
    205.89/283.64 = 143.61/x
  3. Step 3: Cross multiply
    205.89x = 283.64 × 143.61
  4. Step 4: Simplify right side
    205.89x = 40,731.76
  5. Step 5: Solve for x
    x = 40,731.76/205.89
  6. Step 6: Final answer
    x = 197.84

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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.