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Finding the Fourth Proportional to 273.98, 378.09 and 163.46

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Solution

The fourth proportional to 273.98, 378.09 and 163.46 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 378.09 = 163.46 : x
  2. Step 2: Convert to fraction form
    273.98/378.09 = 163.46/x
  3. Step 3: Cross multiply
    273.98x = 378.09 × 163.46
  4. Step 4: Simplify right side
    273.98x = 61,802.59
  5. Step 5: Solve for x
    x = 61,802.59/273.98
  6. Step 6: Final answer
    x = 225.58

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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.