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Finding the Fourth Proportional to 349.25, 523.89 and 105.80

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Solution

The fourth proportional to 349.25, 523.89 and 105.80 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.25 : 523.89 = 105.80 : x
  2. Step 2: Convert to fraction form
    349.25/523.89 = 105.80/x
  3. Step 3: Cross multiply
    349.25x = 523.89 × 105.80
  4. Step 4: Simplify right side
    349.25x = 55,424.94
  5. Step 5: Solve for x
    x = 55,424.94/349.25
  6. Step 6: Final answer
    x = 158.70

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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.