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Finding the Fourth Proportional to 412, 617.76 and 137.94

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Solution

The fourth proportional to 412, 617.76 and 137.94 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 617.76 = 137.94 : x
  2. Step 2: Convert to fraction form
    412/617.76 = 137.94/x
  3. Step 3: Cross multiply
    412x = 617.76 × 137.94
  4. Step 4: Simplify right side
    412x = 85,213.81
  5. Step 5: Solve for x
    x = 85,213.81/412
  6. Step 6: Final answer
    x = 206.83

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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.