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Finding the Fourth Proportional to 323.69, 485.60 and 161.33

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Solution

The fourth proportional to 323.69, 485.60 and 161.33 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.69 : 485.60 = 161.33 : x
  2. Step 2: Convert to fraction form
    323.69/485.60 = 161.33/x
  3. Step 3: Cross multiply
    323.69x = 485.60 × 161.33
  4. Step 4: Simplify right side
    323.69x = 78,338.61
  5. Step 5: Solve for x
    x = 78,338.61/323.69
  6. Step 6: Final answer
    x = 242.02

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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.