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Finding the Fourth Proportional to 273.17, 409.79 and 110.86

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Solution

The fourth proportional to 273.17, 409.79 and 110.86 is: 166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.17 : 409.79 = 110.86 : x
  2. Step 2: Convert to fraction form
    273.17/409.79 = 110.86/x
  3. Step 3: Cross multiply
    273.17x = 409.79 × 110.86
  4. Step 4: Simplify right side
    273.17x = 45,426.72
  5. Step 5: Solve for x
    x = 45,426.72/273.17
  6. Step 6: Final answer
    x = 166.29

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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.