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Finding the Fourth Proportional to 301.09, 415.33 and 176.73

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Solution

The fourth proportional to 301.09, 415.33 and 176.73 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.09 : 415.33 = 176.73 : x
  2. Step 2: Convert to fraction form
    301.09/415.33 = 176.73/x
  3. Step 3: Cross multiply
    301.09x = 415.33 × 176.73
  4. Step 4: Simplify right side
    301.09x = 73,399.54
  5. Step 5: Solve for x
    x = 73,399.54/301.09
  6. Step 6: Final answer
    x = 243.78

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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.