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Finding the Fourth Proportional to 406.69, 610.17 and 163.15

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Solution

The fourth proportional to 406.69, 610.17 and 163.15 is: 244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 610.17 = 163.15 : x
  2. Step 2: Convert to fraction form
    406.69/610.17 = 163.15/x
  3. Step 3: Cross multiply
    406.69x = 610.17 × 163.15
  4. Step 4: Simplify right side
    406.69x = 99,549.24
  5. Step 5: Solve for x
    x = 99,549.24/406.69
  6. Step 6: Final answer
    x = 244.78

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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.