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Finding the Fourth Proportional to 406.97, 610.48 and 163.52

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Solution

The fourth proportional to 406.97, 610.48 and 163.52 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 610.48 = 163.52 : x
  2. Step 2: Convert to fraction form
    406.97/610.48 = 163.52/x
  3. Step 3: Cross multiply
    406.97x = 610.48 × 163.52
  4. Step 4: Simplify right side
    406.97x = 99,822.64
  5. Step 5: Solve for x
    x = 99,822.64/406.97
  6. Step 6: Final answer
    x = 245.28

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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.