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Finding the Fourth Proportional to 325.73, 488.45 and 161.09

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Solution

The fourth proportional to 325.73, 488.45 and 161.09 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.73 : 488.45 = 161.09 : x
  2. Step 2: Convert to fraction form
    325.73/488.45 = 161.09/x
  3. Step 3: Cross multiply
    325.73x = 488.45 × 161.09
  4. Step 4: Simplify right side
    325.73x = 78,684.41
  5. Step 5: Solve for x
    x = 78,684.41/325.73
  6. Step 6: Final answer
    x = 241.56

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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.