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Finding the Fourth Proportional to 211.74, 290.10 and 205.80

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Solution

The fourth proportional to 211.74, 290.10 and 205.80 is: 281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 290.10 = 205.80 : x
  2. Step 2: Convert to fraction form
    211.74/290.10 = 205.80/x
  3. Step 3: Cross multiply
    211.74x = 290.10 × 205.80
  4. Step 4: Simplify right side
    211.74x = 59,702.58
  5. Step 5: Solve for x
    x = 59,702.58/211.74
  6. Step 6: Final answer
    x = 281.96

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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.