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Finding the Fourth Proportional to 273.14, 409.71 and 110.78

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Solution

The fourth proportional to 273.14, 409.71 and 110.78 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 409.71 = 110.78 : x
  2. Step 2: Convert to fraction form
    273.14/409.71 = 110.78/x
  3. Step 3: Cross multiply
    273.14x = 409.71 × 110.78
  4. Step 4: Simplify right side
    273.14x = 45,387.77
  5. Step 5: Solve for x
    x = 45,387.77/273.14
  6. Step 6: Final answer
    x = 166.17

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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.