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Finding the Fourth Proportional to 273.74, 410.46 and 111.46

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Solution

The fourth proportional to 273.74, 410.46 and 111.46 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 410.46 = 111.46 : x
  2. Step 2: Convert to fraction form
    273.74/410.46 = 111.46/x
  3. Step 3: Cross multiply
    273.74x = 410.46 × 111.46
  4. Step 4: Simplify right side
    273.74x = 45,749.87
  5. Step 5: Solve for x
    x = 45,749.87/273.74
  6. Step 6: Final answer
    x = 167.13

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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.