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Finding the Fourth Proportional to 406.92, 610.49 and 133.05

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Solution

The fourth proportional to 406.92, 610.49 and 133.05 is: 199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 610.49 = 133.05 : x
  2. Step 2: Convert to fraction form
    406.92/610.49 = 133.05/x
  3. Step 3: Cross multiply
    406.92x = 610.49 × 133.05
  4. Step 4: Simplify right side
    406.92x = 81,225.69
  5. Step 5: Solve for x
    x = 81,225.69/406.92
  6. Step 6: Final answer
    x = 199.61

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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.