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Finding the Fourth Proportional to 397.20, 595.86 and 137.22

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Solution

The fourth proportional to 397.20, 595.86 and 137.22 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 595.86 = 137.22 : x
  2. Step 2: Convert to fraction form
    397.20/595.86 = 137.22/x
  3. Step 3: Cross multiply
    397.20x = 595.86 × 137.22
  4. Step 4: Simplify right side
    397.20x = 81,763.91
  5. Step 5: Solve for x
    x = 81,763.91/397.20
  6. Step 6: Final answer
    x = 205.85

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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.