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Finding the Fourth Proportional to 379.73, 569.42 and 136.27

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Solution

The fourth proportional to 379.73, 569.42 and 136.27 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.73 : 569.42 = 136.27 : x
  2. Step 2: Convert to fraction form
    379.73/569.42 = 136.27/x
  3. Step 3: Cross multiply
    379.73x = 569.42 × 136.27
  4. Step 4: Simplify right side
    379.73x = 77,591.33
  5. Step 5: Solve for x
    x = 77,591.33/379.73
  6. Step 6: Final answer
    x = 204.33

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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.