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Finding the Fourth Proportional to 205.26, 282.43 and 189.76

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Solution

The fourth proportional to 205.26, 282.43 and 189.76 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 282.43 = 189.76 : x
  2. Step 2: Convert to fraction form
    205.26/282.43 = 189.76/x
  3. Step 3: Cross multiply
    205.26x = 282.43 × 189.76
  4. Step 4: Simplify right side
    205.26x = 53,593.92
  5. Step 5: Solve for x
    x = 53,593.92/205.26
  6. Step 6: Final answer
    x = 261.10

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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.