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Finding the Fourth Proportional to 307.20, 460.48 and 161.12

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Solution

The fourth proportional to 307.20, 460.48 and 161.12 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 460.48 = 161.12 : x
  2. Step 2: Convert to fraction form
    307.20/460.48 = 161.12/x
  3. Step 3: Cross multiply
    307.20x = 460.48 × 161.12
  4. Step 4: Simplify right side
    307.20x = 74,192.54
  5. Step 5: Solve for x
    x = 74,192.54/307.20
  6. Step 6: Final answer
    x = 241.51

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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.