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Finding the Fourth Proportional to 300.83, 415.17 and 169.88

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Solution

The fourth proportional to 300.83, 415.17 and 169.88 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.83 : 415.17 = 169.88 : x
  2. Step 2: Convert to fraction form
    300.83/415.17 = 169.88/x
  3. Step 3: Cross multiply
    300.83x = 415.17 × 169.88
  4. Step 4: Simplify right side
    300.83x = 70,529.08
  5. Step 5: Solve for x
    x = 70,529.08/300.83
  6. Step 6: Final answer
    x = 234.45

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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.