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Finding the Fourth Proportional to 273.16, 409.26 and 164.80

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Solution

The fourth proportional to 273.16, 409.26 and 164.80 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.26 = 164.80 : x
  2. Step 2: Convert to fraction form
    273.16/409.26 = 164.80/x
  3. Step 3: Cross multiply
    273.16x = 409.26 × 164.80
  4. Step 4: Simplify right side
    273.16x = 67,446.05
  5. Step 5: Solve for x
    x = 67,446.05/273.16
  6. Step 6: Final answer
    x = 246.91

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Why These Related Problems?

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