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Finding the Fourth Proportional to 348.69, 523.03 and 161.04

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Solution

The fourth proportional to 348.69, 523.03 and 161.04 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.69 : 523.03 = 161.04 : x
  2. Step 2: Convert to fraction form
    348.69/523.03 = 161.04/x
  3. Step 3: Cross multiply
    348.69x = 523.03 × 161.04
  4. Step 4: Simplify right side
    348.69x = 84,228.75
  5. Step 5: Solve for x
    x = 84,228.75/348.69
  6. Step 6: Final answer
    x = 241.56

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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.