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Finding the Fourth Proportional to 273.45, 409.73 and 192.15

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Solution

The fourth proportional to 273.45, 409.73 and 192.15 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.45 : 409.73 = 192.15 : x
  2. Step 2: Convert to fraction form
    273.45/409.73 = 192.15/x
  3. Step 3: Cross multiply
    273.45x = 409.73 × 192.15
  4. Step 4: Simplify right side
    273.45x = 78,729.04
  5. Step 5: Solve for x
    x = 78,729.04/273.45
  6. Step 6: Final answer
    x = 287.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.