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Finding the Fourth Proportional to 349.23, 523.77 and 164.02

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Solution

The fourth proportional to 349.23, 523.77 and 164.02 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 523.77 = 164.02 : x
  2. Step 2: Convert to fraction form
    349.23/523.77 = 164.02/x
  3. Step 3: Cross multiply
    349.23x = 523.77 × 164.02
  4. Step 4: Simplify right side
    349.23x = 85,906.83
  5. Step 5: Solve for x
    x = 85,906.83/349.23
  6. Step 6: Final answer
    x = 245.99

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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.