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Finding the Fourth Proportional to 335.26, 502.62 and 142.66

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Solution

The fourth proportional to 335.26, 502.62 and 142.66 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.26 : 502.62 = 142.66 : x
  2. Step 2: Convert to fraction form
    335.26/502.62 = 142.66/x
  3. Step 3: Cross multiply
    335.26x = 502.62 × 142.66
  4. Step 4: Simplify right side
    335.26x = 71,703.77
  5. Step 5: Solve for x
    x = 71,703.77/335.26
  6. Step 6: Final answer
    x = 213.88

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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.