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Finding the Fourth Proportional to 307.81, 462.03 and 163.63

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Solution

The fourth proportional to 307.81, 462.03 and 163.63 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.81 : 462.03 = 163.63 : x
  2. Step 2: Convert to fraction form
    307.81/462.03 = 163.63/x
  3. Step 3: Cross multiply
    307.81x = 462.03 × 163.63
  4. Step 4: Simplify right side
    307.81x = 75,601.97
  5. Step 5: Solve for x
    x = 75,601.97/307.81
  6. Step 6: Final answer
    x = 245.61

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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.