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Finding the Fourth Proportional to 300.91, 415.23 and 168.12

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Solution

The fourth proportional to 300.91, 415.23 and 168.12 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.91 : 415.23 = 168.12 : x
  2. Step 2: Convert to fraction form
    300.91/415.23 = 168.12/x
  3. Step 3: Cross multiply
    300.91x = 415.23 × 168.12
  4. Step 4: Simplify right side
    300.91x = 69,808.47
  5. Step 5: Solve for x
    x = 69,808.47/300.91
  6. Step 6: Final answer
    x = 231.99

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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.