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Finding the Fourth Proportional to 273.03, 409.54 and 110.71

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Solution

The fourth proportional to 273.03, 409.54 and 110.71 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.03 : 409.54 = 110.71 : x
  2. Step 2: Convert to fraction form
    273.03/409.54 = 110.71/x
  3. Step 3: Cross multiply
    273.03x = 409.54 × 110.71
  4. Step 4: Simplify right side
    273.03x = 45,340.17
  5. Step 5: Solve for x
    x = 45,340.17/273.03
  6. Step 6: Final answer
    x = 166.06

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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.