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Finding the Fourth Proportional to 335.82, 503.74 and 140.83

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Solution

The fourth proportional to 335.82, 503.74 and 140.83 is: 211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 503.74 = 140.83 : x
  2. Step 2: Convert to fraction form
    335.82/503.74 = 140.83/x
  3. Step 3: Cross multiply
    335.82x = 503.74 × 140.83
  4. Step 4: Simplify right side
    335.82x = 70,940.44
  5. Step 5: Solve for x
    x = 70,940.44/335.82
  6. Step 6: Final answer
    x = 211.24

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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.