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Finding the Fourth Proportional to 349.26, 523.89 and 105.81

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Solution

The fourth proportional to 349.26, 523.89 and 105.81 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 523.89 = 105.81 : x
  2. Step 2: Convert to fraction form
    349.26/523.89 = 105.81/x
  3. Step 3: Cross multiply
    349.26x = 523.89 × 105.81
  4. Step 4: Simplify right side
    349.26x = 55,432.80
  5. Step 5: Solve for x
    x = 55,432.80/349.26
  6. Step 6: Final answer
    x = 158.72

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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.