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Finding the Fourth Proportional to 269.69, 403.43 and 224.10

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Solution

The fourth proportional to 269.69, 403.43 and 224.10 is: 335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.69 : 403.43 = 224.10 : x
  2. Step 2: Convert to fraction form
    269.69/403.43 = 224.10/x
  3. Step 3: Cross multiply
    269.69x = 403.43 × 224.10
  4. Step 4: Simplify right side
    269.69x = 90,407.54
  5. Step 5: Solve for x
    x = 90,407.54/269.69
  6. Step 6: Final answer
    x = 335.23

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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.