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Finding the Fourth Proportional to 397.14, 595.29 and 137.04

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Solution

The fourth proportional to 397.14, 595.29 and 137.04 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 595.29 = 137.04 : x
  2. Step 2: Convert to fraction form
    397.14/595.29 = 137.04/x
  3. Step 3: Cross multiply
    397.14x = 595.29 × 137.04
  4. Step 4: Simplify right side
    397.14x = 81,578.54
  5. Step 5: Solve for x
    x = 81,578.54/397.14
  6. Step 6: Final answer
    x = 205.42

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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.