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Finding the Fourth Proportional to 273.16, 409.54 and 110.69

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Solution

The fourth proportional to 273.16, 409.54 and 110.69 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.54 = 110.69 : x
  2. Step 2: Convert to fraction form
    273.16/409.54 = 110.69/x
  3. Step 3: Cross multiply
    273.16x = 409.54 × 110.69
  4. Step 4: Simplify right side
    273.16x = 45,331.98
  5. Step 5: Solve for x
    x = 45,331.98/273.16
  6. Step 6: Final answer
    x = 165.95

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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.