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Finding the Fourth Proportional to 307.70, 461.41 and 115.19

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Solution

The fourth proportional to 307.70, 461.41 and 115.19 is: 172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 461.41 = 115.19 : x
  2. Step 2: Convert to fraction form
    307.70/461.41 = 115.19/x
  3. Step 3: Cross multiply
    307.70x = 461.41 × 115.19
  4. Step 4: Simplify right side
    307.70x = 53,149.82
  5. Step 5: Solve for x
    x = 53,149.82/307.70
  6. Step 6: Final answer
    x = 172.73

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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.