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Finding the Fourth Proportional to 426.24, 639.34 and 137.66

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Solution

The fourth proportional to 426.24, 639.34 and 137.66 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 639.34 = 137.66 : x
  2. Step 2: Convert to fraction form
    426.24/639.34 = 137.66/x
  3. Step 3: Cross multiply
    426.24x = 639.34 × 137.66
  4. Step 4: Simplify right side
    426.24x = 88,011.54
  5. Step 5: Solve for x
    x = 88,011.54/426.24
  6. Step 6: Final answer
    x = 206.48

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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.