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Finding the Fourth Proportional to 269.36, 404.16 and 137.68

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Solution

The fourth proportional to 269.36, 404.16 and 137.68 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 404.16 = 137.68 : x
  2. Step 2: Convert to fraction form
    269.36/404.16 = 137.68/x
  3. Step 3: Cross multiply
    269.36x = 404.16 × 137.68
  4. Step 4: Simplify right side
    269.36x = 55,644.75
  5. Step 5: Solve for x
    x = 55,644.75/269.36
  6. Step 6: Final answer
    x = 206.58

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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.