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Finding the Fourth Proportional to 300.83, 415.12 and 169.82

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Solution

The fourth proportional to 300.83, 415.12 and 169.82 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.83 : 415.12 = 169.82 : x
  2. Step 2: Convert to fraction form
    300.83/415.12 = 169.82/x
  3. Step 3: Cross multiply
    300.83x = 415.12 × 169.82
  4. Step 4: Simplify right side
    300.83x = 70,492.75
  5. Step 5: Solve for x
    x = 70,492.75/300.83
  6. Step 6: Final answer
    x = 234.33

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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.