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Finding the Fourth Proportional to 273.94, 378.05 and 149.61

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Solution

The fourth proportional to 273.94, 378.05 and 149.61 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 378.05 = 149.61 : x
  2. Step 2: Convert to fraction form
    273.94/378.05 = 149.61/x
  3. Step 3: Cross multiply
    273.94x = 378.05 × 149.61
  4. Step 4: Simplify right side
    273.94x = 56,558.04
  5. Step 5: Solve for x
    x = 56,558.04/273.94
  6. Step 6: Final answer
    x = 206.46

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