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Finding the Fourth Proportional to 293.86, 404.07 and 252.22

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Solution

The fourth proportional to 293.86, 404.07 and 252.22 is: 346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 404.07 = 252.22 : x
  2. Step 2: Convert to fraction form
    293.86/404.07 = 252.22/x
  3. Step 3: Cross multiply
    293.86x = 404.07 × 252.22
  4. Step 4: Simplify right side
    293.86x = 101,914.54
  5. Step 5: Solve for x
    x = 101,914.54/293.86
  6. Step 6: Final answer
    x = 346.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.