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Finding the Fourth Proportional to 412.09, 617.52 and 168.33

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Solution

The fourth proportional to 412.09, 617.52 and 168.33 is: 252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 617.52 = 168.33 : x
  2. Step 2: Convert to fraction form
    412.09/617.52 = 168.33/x
  3. Step 3: Cross multiply
    412.09x = 617.52 × 168.33
  4. Step 4: Simplify right side
    412.09x = 103,946.61
  5. Step 5: Solve for x
    x = 103,946.61/412.09
  6. Step 6: Final answer
    x = 252.24

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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.