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Finding the Fourth Proportional to 273.16, 409.73 and 110.84

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Solution

The fourth proportional to 273.16, 409.73 and 110.84 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 409.73 = 110.84 : x
  2. Step 2: Convert to fraction form
    273.16/409.73 = 110.84/x
  3. Step 3: Cross multiply
    273.16x = 409.73 × 110.84
  4. Step 4: Simplify right side
    273.16x = 45,411.87
  5. Step 5: Solve for x
    x = 45,411.87/273.16
  6. Step 6: Final answer
    x = 166.25

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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.