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Finding the Fourth Proportional to 349.20, 523.90 and 105.74

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Solution

The fourth proportional to 349.20, 523.90 and 105.74 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 523.90 = 105.74 : x
  2. Step 2: Convert to fraction form
    349.20/523.90 = 105.74/x
  3. Step 3: Cross multiply
    349.20x = 523.90 × 105.74
  4. Step 4: Simplify right side
    349.20x = 55,397.19
  5. Step 5: Solve for x
    x = 55,397.19/349.20
  6. Step 6: Final answer
    x = 158.64

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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.