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Finding the Fourth Proportional to 273.87, 378.02 and 163.35

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Solution

The fourth proportional to 273.87, 378.02 and 163.35 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.87 : 378.02 = 163.35 : x
  2. Step 2: Convert to fraction form
    273.87/378.02 = 163.35/x
  3. Step 3: Cross multiply
    273.87x = 378.02 × 163.35
  4. Step 4: Simplify right side
    273.87x = 61,748.75
  5. Step 5: Solve for x
    x = 61,748.75/273.87
  6. Step 6: Final answer
    x = 225.47

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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.