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Finding the Fourth Proportional to 349.31, 523.36 and 164.03

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Solution

The fourth proportional to 349.31, 523.36 and 164.03 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 523.36 = 164.03 : x
  2. Step 2: Convert to fraction form
    349.31/523.36 = 164.03/x
  3. Step 3: Cross multiply
    349.31x = 523.36 × 164.03
  4. Step 4: Simplify right side
    349.31x = 85,844.33
  5. Step 5: Solve for x
    x = 85,844.33/349.31
  6. Step 6: Final answer
    x = 245.75

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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.