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Finding the Fourth Proportional to 307.22, 461.03 and 163.04

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Solution

The fourth proportional to 307.22, 461.03 and 163.04 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 461.03 = 163.04 : x
  2. Step 2: Convert to fraction form
    307.22/461.03 = 163.04/x
  3. Step 3: Cross multiply
    307.22x = 461.03 × 163.04
  4. Step 4: Simplify right side
    307.22x = 75,163.21
  5. Step 5: Solve for x
    x = 75,163.21/307.22
  6. Step 6: Final answer
    x = 244.66

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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.