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Finding the Fourth Proportional to 273.05, 409.25 and 126.61

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Solution

The fourth proportional to 273.05, 409.25 and 126.61 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.05 : 409.25 = 126.61 : x
  2. Step 2: Convert to fraction form
    273.05/409.25 = 126.61/x
  3. Step 3: Cross multiply
    273.05x = 409.25 × 126.61
  4. Step 4: Simplify right side
    273.05x = 51,813.41
  5. Step 5: Solve for x
    x = 51,813.41/273.05
  6. Step 6: Final answer
    x = 189.76

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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.