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Finding the Fourth Proportional to 412.67, 619.13 and 138.74

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Solution

The fourth proportional to 412.67, 619.13 and 138.74 is: 208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.67 : 619.13 = 138.74 : x
  2. Step 2: Convert to fraction form
    412.67/619.13 = 138.74/x
  3. Step 3: Cross multiply
    412.67x = 619.13 × 138.74
  4. Step 4: Simplify right side
    412.67x = 85,896.55
  5. Step 5: Solve for x
    x = 85,896.55/412.67
  6. Step 6: Final answer
    x = 208.15

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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.