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Finding the Fourth Proportional to 307.60, 424.50 and 167.73

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Solution

The fourth proportional to 307.60, 424.50 and 167.73 is: 231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 424.50 = 167.73 : x
  2. Step 2: Convert to fraction form
    307.60/424.50 = 167.73/x
  3. Step 3: Cross multiply
    307.60x = 424.50 × 167.73
  4. Step 4: Simplify right side
    307.60x = 71,198.42
  5. Step 5: Solve for x
    x = 71,198.42/307.60
  6. Step 6: Final answer
    x = 231.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.