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Finding the Fourth Proportional to 315.25, 472.49 and 161.09

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Solution

The fourth proportional to 315.25, 472.49 and 161.09 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.25 : 472.49 = 161.09 : x
  2. Step 2: Convert to fraction form
    315.25/472.49 = 161.09/x
  3. Step 3: Cross multiply
    315.25x = 472.49 × 161.09
  4. Step 4: Simplify right side
    315.25x = 76,112.62
  5. Step 5: Solve for x
    x = 76,112.62/315.25
  6. Step 6: Final answer
    x = 241.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.