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Finding the Fourth Proportional to 397.56, 596.13 and 137.46

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Solution

The fourth proportional to 397.56, 596.13 and 137.46 is: 206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.13 = 137.46 : x
  2. Step 2: Convert to fraction form
    397.56/596.13 = 137.46/x
  3. Step 3: Cross multiply
    397.56x = 596.13 × 137.46
  4. Step 4: Simplify right side
    397.56x = 81,944.03
  5. Step 5: Solve for x
    x = 81,944.03/397.56
  6. Step 6: Final answer
    x = 206.12

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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.