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Finding the Fourth Proportional to 307.82, 461.42 and 161.73

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Solution

The fourth proportional to 307.82, 461.42 and 161.73 is: 242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.42 = 161.73 : x
  2. Step 2: Convert to fraction form
    307.82/461.42 = 161.73/x
  3. Step 3: Cross multiply
    307.82x = 461.42 × 161.73
  4. Step 4: Simplify right side
    307.82x = 74,625.51
  5. Step 5: Solve for x
    x = 74,625.51/307.82
  6. Step 6: Final answer
    x = 242.43

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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.