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Finding the Fourth Proportional to 300.74, 415.02 and 169.76

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Solution

The fourth proportional to 300.74, 415.02 and 169.76 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 415.02 = 169.76 : x
  2. Step 2: Convert to fraction form
    300.74/415.02 = 169.76/x
  3. Step 3: Cross multiply
    300.74x = 415.02 × 169.76
  4. Step 4: Simplify right side
    300.74x = 70,453.80
  5. Step 5: Solve for x
    x = 70,453.80/300.74
  6. Step 6: Final answer
    x = 234.27

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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.