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Finding the Fourth Proportional to 273.93, 378.15 and 161.89

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Solution

The fourth proportional to 273.93, 378.15 and 161.89 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.93 : 378.15 = 161.89 : x
  2. Step 2: Convert to fraction form
    273.93/378.15 = 161.89/x
  3. Step 3: Cross multiply
    273.93x = 378.15 × 161.89
  4. Step 4: Simplify right side
    273.93x = 61,218.70
  5. Step 5: Solve for x
    x = 61,218.70/273.93
  6. Step 6: Final answer
    x = 223.48

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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.