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Finding the Fourth Proportional to 301.14, 415.46 and 196.35

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Solution

The fourth proportional to 301.14, 415.46 and 196.35 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 415.46 = 196.35 : x
  2. Step 2: Convert to fraction form
    301.14/415.46 = 196.35/x
  3. Step 3: Cross multiply
    301.14x = 415.46 × 196.35
  4. Step 4: Simplify right side
    301.14x = 81,574.59
  5. Step 5: Solve for x
    x = 81,574.59/301.14
  6. Step 6: Final answer
    x = 270.89

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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.