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Finding the Fourth Proportional to 333.82, 500.74 and 141.31

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Solution

The fourth proportional to 333.82, 500.74 and 141.31 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 500.74 = 141.31 : x
  2. Step 2: Convert to fraction form
    333.82/500.74 = 141.31/x
  3. Step 3: Cross multiply
    333.82x = 500.74 × 141.31
  4. Step 4: Simplify right side
    333.82x = 70,759.57
  5. Step 5: Solve for x
    x = 70,759.57/333.82
  6. Step 6: Final answer
    x = 211.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.