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Finding the Fourth Proportional to 254.45, 381.87 and 209.09

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Solution

The fourth proportional to 254.45, 381.87 and 209.09 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.45 : 381.87 = 209.09 : x
  2. Step 2: Convert to fraction form
    254.45/381.87 = 209.09/x
  3. Step 3: Cross multiply
    254.45x = 381.87 × 209.09
  4. Step 4: Simplify right side
    254.45x = 79,843.29
  5. Step 5: Solve for x
    x = 79,843.29/254.45
  6. Step 6: Final answer
    x = 313.79

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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.