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Finding the Fourth Proportional to 300.82, 415.14 and 168.06

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Solution

The fourth proportional to 300.82, 415.14 and 168.06 is: 231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.82 : 415.14 = 168.06 : x
  2. Step 2: Convert to fraction form
    300.82/415.14 = 168.06/x
  3. Step 3: Cross multiply
    300.82x = 415.14 × 168.06
  4. Step 4: Simplify right side
    300.82x = 69,768.43
  5. Step 5: Solve for x
    x = 69,768.43/300.82
  6. Step 6: Final answer
    x = 231.93

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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.