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Finding the Fourth Proportional to 335.26, 502.83 and 140.23

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Solution

The fourth proportional to 335.26, 502.83 and 140.23 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.26 : 502.83 = 140.23 : x
  2. Step 2: Convert to fraction form
    335.26/502.83 = 140.23/x
  3. Step 3: Cross multiply
    335.26x = 502.83 × 140.23
  4. Step 4: Simplify right side
    335.26x = 70,511.85
  5. Step 5: Solve for x
    x = 70,511.85/335.26
  6. Step 6: Final answer
    x = 210.32

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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.