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Finding the Fourth Proportional to 269.72, 404.26 and 209.08

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Solution

The fourth proportional to 269.72, 404.26 and 209.08 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 404.26 = 209.08 : x
  2. Step 2: Convert to fraction form
    269.72/404.26 = 209.08/x
  3. Step 3: Cross multiply
    269.72x = 404.26 × 209.08
  4. Step 4: Simplify right side
    269.72x = 84,522.68
  5. Step 5: Solve for x
    x = 84,522.68/269.72
  6. Step 6: Final answer
    x = 313.37

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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.