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Finding the Fourth Proportional to 254.44, 381.24 and 205.72

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Solution

The fourth proportional to 254.44, 381.24 and 205.72 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 381.24 = 205.72 : x
  2. Step 2: Convert to fraction form
    254.44/381.24 = 205.72/x
  3. Step 3: Cross multiply
    254.44x = 381.24 × 205.72
  4. Step 4: Simplify right side
    254.44x = 78,428.69
  5. Step 5: Solve for x
    x = 78,428.69/254.44
  6. Step 6: Final answer
    x = 308.24

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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.