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Finding the Fourth Proportional to 406.94, 610.42 and 133.06

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Solution

The fourth proportional to 406.94, 610.42 and 133.06 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 610.42 = 133.06 : x
  2. Step 2: Convert to fraction form
    406.94/610.42 = 133.06/x
  3. Step 3: Cross multiply
    406.94x = 610.42 × 133.06
  4. Step 4: Simplify right side
    406.94x = 81,222.49
  5. Step 5: Solve for x
    x = 81,222.49/406.94
  6. Step 6: Final answer
    x = 199.59

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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.