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Finding the Fourth Proportional to 205.26, 281.46 and 199.86

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Solution

The fourth proportional to 205.26, 281.46 and 199.86 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 281.46 = 199.86 : x
  2. Step 2: Convert to fraction form
    205.26/281.46 = 199.86/x
  3. Step 3: Cross multiply
    205.26x = 281.46 × 199.86
  4. Step 4: Simplify right side
    205.26x = 56,252.60
  5. Step 5: Solve for x
    x = 56,252.60/205.26
  6. Step 6: Final answer
    x = 274.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.