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Finding the Fourth Proportional to 301.46, 415.87 and 191.09

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Solution

The fourth proportional to 301.46, 415.87 and 191.09 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 415.87 = 191.09 : x
  2. Step 2: Convert to fraction form
    301.46/415.87 = 191.09/x
  3. Step 3: Cross multiply
    301.46x = 415.87 × 191.09
  4. Step 4: Simplify right side
    301.46x = 79,469.16
  5. Step 5: Solve for x
    x = 79,469.16/301.46
  6. Step 6: Final answer
    x = 263.62

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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.