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Finding the Fourth Proportional to 305.34, 421.11 and 194.82

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Solution

The fourth proportional to 305.34, 421.11 and 194.82 is: 268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 421.11 = 194.82 : x
  2. Step 2: Convert to fraction form
    305.34/421.11 = 194.82/x
  3. Step 3: Cross multiply
    305.34x = 421.11 × 194.82
  4. Step 4: Simplify right side
    305.34x = 82,040.65
  5. Step 5: Solve for x
    x = 82,040.65/305.34
  6. Step 6: Final answer
    x = 268.69

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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.