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Finding the Fourth Proportional to 301.20, 415.42 and 196.17

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Solution

The fourth proportional to 301.20, 415.42 and 196.17 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 415.42 = 196.17 : x
  2. Step 2: Convert to fraction form
    301.20/415.42 = 196.17/x
  3. Step 3: Cross multiply
    301.20x = 415.42 × 196.17
  4. Step 4: Simplify right side
    301.20x = 81,492.94
  5. Step 5: Solve for x
    x = 81,492.94/301.20
  6. Step 6: Final answer
    x = 270.56

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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.