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Finding the Fourth Proportional to 293.88, 406.11 and 223.86

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Solution

The fourth proportional to 293.88, 406.11 and 223.86 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 406.11 = 223.86 : x
  2. Step 2: Convert to fraction form
    293.88/406.11 = 223.86/x
  3. Step 3: Cross multiply
    293.88x = 406.11 × 223.86
  4. Step 4: Simplify right side
    293.88x = 90,914.15
  5. Step 5: Solve for x
    x = 90,914.15/293.88
  6. Step 6: Final answer
    x = 309.36

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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.