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Finding the Fourth Proportional to 349.23, 523.42 and 164.23

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Solution

The fourth proportional to 349.23, 523.42 and 164.23 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 523.42 = 164.23 : x
  2. Step 2: Convert to fraction form
    349.23/523.42 = 164.23/x
  3. Step 3: Cross multiply
    349.23x = 523.42 × 164.23
  4. Step 4: Simplify right side
    349.23x = 85,961.27
  5. Step 5: Solve for x
    x = 85,961.27/349.23
  6. Step 6: Final answer
    x = 246.15

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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.