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Finding the Fourth Proportional to 395.44, 593.14 and 138.92

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Solution

The fourth proportional to 395.44, 593.14 and 138.92 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 593.14 = 138.92 : x
  2. Step 2: Convert to fraction form
    395.44/593.14 = 138.92/x
  3. Step 3: Cross multiply
    395.44x = 593.14 × 138.92
  4. Step 4: Simplify right side
    395.44x = 82,399.01
  5. Step 5: Solve for x
    x = 82,399.01/395.44
  6. Step 6: Final answer
    x = 208.37

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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.