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Finding the Fourth Proportional to 484.30, 726.39 and 137.67

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Solution

The fourth proportional to 484.30, 726.39 and 137.67 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.30 : 726.39 = 137.67 : x
  2. Step 2: Convert to fraction form
    484.30/726.39 = 137.67/x
  3. Step 3: Cross multiply
    484.30x = 726.39 × 137.67
  4. Step 4: Simplify right side
    484.30x = 99,998.48
  5. Step 5: Solve for x
    x = 99,998.48/484.30
  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.