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Finding the Fourth Proportional to 273.97, 378.07 and 149.61

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Solution

The fourth proportional to 273.97, 378.07 and 149.61 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 378.07 = 149.61 : x
  2. Step 2: Convert to fraction form
    273.97/378.07 = 149.61/x
  3. Step 3: Cross multiply
    273.97x = 378.07 × 149.61
  4. Step 4: Simplify right side
    273.97x = 56,561.23
  5. Step 5: Solve for x
    x = 56,561.23/273.97
  6. Step 6: Final answer
    x = 206.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.