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Finding the Fourth Proportional to 300.81, 415.32 and 194.67

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Solution

The fourth proportional to 300.81, 415.32 and 194.67 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.81 : 415.32 = 194.67 : x
  2. Step 2: Convert to fraction form
    300.81/415.32 = 194.67/x
  3. Step 3: Cross multiply
    300.81x = 415.32 × 194.67
  4. Step 4: Simplify right side
    300.81x = 80,850.34
  5. Step 5: Solve for x
    x = 80,850.34/300.81
  6. Step 6: Final answer
    x = 268.78

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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.