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Finding the Fourth Proportional to 333.92, 460.82 and 194.12

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Solution

The fourth proportional to 333.92, 460.82 and 194.12 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 460.82 = 194.12 : x
  2. Step 2: Convert to fraction form
    333.92/460.82 = 194.12/x
  3. Step 3: Cross multiply
    333.92x = 460.82 × 194.12
  4. Step 4: Simplify right side
    333.92x = 89,454.38
  5. Step 5: Solve for x
    x = 89,454.38/333.92
  6. Step 6: Final answer
    x = 267.89

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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.