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Finding the Fourth Proportional to 205.22, 282.40 and 204.10

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Solution

The fourth proportional to 205.22, 282.40 and 204.10 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 282.40 = 204.10 : x
  2. Step 2: Convert to fraction form
    205.22/282.40 = 204.10/x
  3. Step 3: Cross multiply
    205.22x = 282.40 × 204.10
  4. Step 4: Simplify right side
    205.22x = 57,636.62
  5. Step 5: Solve for x
    x = 57,636.62/205.22
  6. Step 6: Final answer
    x = 280.85

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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.