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Finding the Fourth Proportional to 307.75, 461.65 and 112.69

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Solution

The fourth proportional to 307.75, 461.65 and 112.69 is: 169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 461.65 = 112.69 : x
  2. Step 2: Convert to fraction form
    307.75/461.65 = 112.69/x
  3. Step 3: Cross multiply
    307.75x = 461.65 × 112.69
  4. Step 4: Simplify right side
    307.75x = 52,023.85
  5. Step 5: Solve for x
    x = 52,023.85/307.75
  6. Step 6: Final answer
    x = 169.05

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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.