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Finding the Fourth Proportional to 205.86, 283.59 and 143.57

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Solution

The fourth proportional to 205.86, 283.59 and 143.57 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.86 : 283.59 = 143.57 : x
  2. Step 2: Convert to fraction form
    205.86/283.59 = 143.57/x
  3. Step 3: Cross multiply
    205.86x = 283.59 × 143.57
  4. Step 4: Simplify right side
    205.86x = 40,716.08
  5. Step 5: Solve for x
    x = 40,716.08/205.86
  6. Step 6: Final answer
    x = 197.79

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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.