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Finding the Fourth Proportional to 406.67, 609.81 and 159.78

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Solution

The fourth proportional to 406.67, 609.81 and 159.78 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.67 : 609.81 = 159.78 : x
  2. Step 2: Convert to fraction form
    406.67/609.81 = 159.78/x
  3. Step 3: Cross multiply
    406.67x = 609.81 × 159.78
  4. Step 4: Simplify right side
    406.67x = 97,435.44
  5. Step 5: Solve for x
    x = 97,435.44/406.67
  6. Step 6: Final answer
    x = 239.60

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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.