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Finding the Fourth Proportional to 205.67, 306.98 and 181.37

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Solution

The fourth proportional to 205.67, 306.98 and 181.37 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 306.98 = 181.37 : x
  2. Step 2: Convert to fraction form
    205.67/306.98 = 181.37/x
  3. Step 3: Cross multiply
    205.67x = 306.98 × 181.37
  4. Step 4: Simplify right side
    205.67x = 55,676.96
  5. Step 5: Solve for x
    x = 55,676.96/205.67
  6. Step 6: Final answer
    x = 270.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.