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Finding the Fourth Proportional to 349.22, 523.92 and 105.78

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Solution

The fourth proportional to 349.22, 523.92 and 105.78 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.22 : 523.92 = 105.78 : x
  2. Step 2: Convert to fraction form
    349.22/523.92 = 105.78/x
  3. Step 3: Cross multiply
    349.22x = 523.92 × 105.78
  4. Step 4: Simplify right side
    349.22x = 55,420.26
  5. Step 5: Solve for x
    x = 55,420.26/349.22
  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.