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Finding the Fourth Proportional to 333.97, 500.68 and 141.37

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Solution

The fourth proportional to 333.97, 500.68 and 141.37 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 500.68 = 141.37 : x
  2. Step 2: Convert to fraction form
    333.97/500.68 = 141.37/x
  3. Step 3: Cross multiply
    333.97x = 500.68 × 141.37
  4. Step 4: Simplify right side
    333.97x = 70,781.13
  5. Step 5: Solve for x
    x = 70,781.13/333.97
  6. Step 6: Final answer
    x = 211.94

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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.