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Finding the Fourth Proportional to 273.82, 411.21 and 145.66

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Solution

The fourth proportional to 273.82, 411.21 and 145.66 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.82 : 411.21 = 145.66 : x
  2. Step 2: Convert to fraction form
    273.82/411.21 = 145.66/x
  3. Step 3: Cross multiply
    273.82x = 411.21 × 145.66
  4. Step 4: Simplify right side
    273.82x = 59,896.85
  5. Step 5: Solve for x
    x = 59,896.85/273.82
  6. Step 6: Final answer
    x = 218.75

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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.