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Finding the Fourth Proportional to 273.22, 409.02 and 251.08

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Solution

The fourth proportional to 273.22, 409.02 and 251.08 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.22 : 409.02 = 251.08 : x
  2. Step 2: Convert to fraction form
    273.22/409.02 = 251.08/x
  3. Step 3: Cross multiply
    273.22x = 409.02 × 251.08
  4. Step 4: Simplify right side
    273.22x = 102,696.74
  5. Step 5: Solve for x
    x = 102,696.74/273.22
  6. Step 6: Final answer
    x = 375.88

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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.