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Finding the Fourth Proportional to 406.96, 610.33 and 133.25

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Solution

The fourth proportional to 406.96, 610.33 and 133.25 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 610.33 = 133.25 : x
  2. Step 2: Convert to fraction form
    406.96/610.33 = 133.25/x
  3. Step 3: Cross multiply
    406.96x = 610.33 × 133.25
  4. Step 4: Simplify right side
    406.96x = 81,326.47
  5. Step 5: Solve for x
    x = 81,326.47/406.96
  6. Step 6: Final answer
    x = 199.84

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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.