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Finding the Fourth Proportional to 205.29, 283.23 and 189.77

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Solution

The fourth proportional to 205.29, 283.23 and 189.77 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 283.23 = 189.77 : x
  2. Step 2: Convert to fraction form
    205.29/283.23 = 189.77/x
  3. Step 3: Cross multiply
    205.29x = 283.23 × 189.77
  4. Step 4: Simplify right side
    205.29x = 53,747.14
  5. Step 5: Solve for x
    x = 53,747.14/205.29
  6. Step 6: Final answer
    x = 261.81

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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.