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Finding the Fourth Proportional to 305.33, 421.49 and 194.96

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Solution

The fourth proportional to 305.33, 421.49 and 194.96 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.33 : 421.49 = 194.96 : x
  2. Step 2: Convert to fraction form
    305.33/421.49 = 194.96/x
  3. Step 3: Cross multiply
    305.33x = 421.49 × 194.96
  4. Step 4: Simplify right side
    305.33x = 82,171.58
  5. Step 5: Solve for x
    x = 82,171.58/305.33
  6. Step 6: Final answer
    x = 269.12

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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.