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Finding the Fourth Proportional to 307.67, 461.12 and 197.64

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Solution

The fourth proportional to 307.67, 461.12 and 197.64 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 461.12 = 197.64 : x
  2. Step 2: Convert to fraction form
    307.67/461.12 = 197.64/x
  3. Step 3: Cross multiply
    307.67x = 461.12 × 197.64
  4. Step 4: Simplify right side
    307.67x = 91,134.77
  5. Step 5: Solve for x
    x = 91,134.77/307.67
  6. Step 6: Final answer
    x = 296.21

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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.