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Finding the Fourth Proportional to 294.86, 406.91 and 163.88

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Solution

The fourth proportional to 294.86, 406.91 and 163.88 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.86 : 406.91 = 163.88 : x
  2. Step 2: Convert to fraction form
    294.86/406.91 = 163.88/x
  3. Step 3: Cross multiply
    294.86x = 406.91 × 163.88
  4. Step 4: Simplify right side
    294.86x = 66,684.41
  5. Step 5: Solve for x
    x = 66,684.41/294.86
  6. Step 6: Final answer
    x = 226.16

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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.