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Finding the Fourth Proportional to 269.82, 404.31 and 209.10

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Solution

The fourth proportional to 269.82, 404.31 and 209.10 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 404.31 = 209.10 : x
  2. Step 2: Convert to fraction form
    269.82/404.31 = 209.10/x
  3. Step 3: Cross multiply
    269.82x = 404.31 × 209.10
  4. Step 4: Simplify right side
    269.82x = 84,541.22
  5. Step 5: Solve for x
    x = 84,541.22/269.82
  6. Step 6: Final answer
    x = 313.32

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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.