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Finding the Fourth Proportional to 293.87, 440.24 and 156.73

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Solution

The fourth proportional to 293.87, 440.24 and 156.73 is: 234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 440.24 = 156.73 : x
  2. Step 2: Convert to fraction form
    293.87/440.24 = 156.73/x
  3. Step 3: Cross multiply
    293.87x = 440.24 × 156.73
  4. Step 4: Simplify right side
    293.87x = 68,998.82
  5. Step 5: Solve for x
    x = 68,998.82/293.87
  6. Step 6: Final answer
    x = 234.79

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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.