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Finding the Fourth Proportional to 205.74, 308.16 and 181.44

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Solution

The fourth proportional to 205.74, 308.16 and 181.44 is: 271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 308.16 = 181.44 : x
  2. Step 2: Convert to fraction form
    205.74/308.16 = 181.44/x
  3. Step 3: Cross multiply
    205.74x = 308.16 × 181.44
  4. Step 4: Simplify right side
    205.74x = 55,912.55
  5. Step 5: Solve for x
    x = 55,912.55/205.74
  6. Step 6: Final answer
    x = 271.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.