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Finding the Fourth Proportional to 273.68, 409.61 and 170.61

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Solution

The fourth proportional to 273.68, 409.61 and 170.61 is: 255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 409.61 = 170.61 : x
  2. Step 2: Convert to fraction form
    273.68/409.61 = 170.61/x
  3. Step 3: Cross multiply
    273.68x = 409.61 × 170.61
  4. Step 4: Simplify right side
    273.68x = 69,880.66
  5. Step 5: Solve for x
    x = 69,880.66/273.68
  6. Step 6: Final answer
    x = 255.34

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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.