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Finding the Fourth Proportional to 349.20, 523.79 and 161.55

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Solution

The fourth proportional to 349.20, 523.79 and 161.55 is: 242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 523.79 = 161.55 : x
  2. Step 2: Convert to fraction form
    349.20/523.79 = 161.55/x
  3. Step 3: Cross multiply
    349.20x = 523.79 × 161.55
  4. Step 4: Simplify right side
    349.20x = 84,617.47
  5. Step 5: Solve for x
    x = 84,617.47/349.20
  6. Step 6: Final answer
    x = 242.32

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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.