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Finding the Fourth Proportional to 301.20, 415.62 and 168.44

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Solution

The fourth proportional to 301.20, 415.62 and 168.44 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 415.62 = 168.44 : x
  2. Step 2: Convert to fraction form
    301.20/415.62 = 168.44/x
  3. Step 3: Cross multiply
    301.20x = 415.62 × 168.44
  4. Step 4: Simplify right side
    301.20x = 70,004.95
  5. Step 5: Solve for x
    x = 70,004.95/301.20
  6. Step 6: Final answer
    x = 232.42

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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.