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Finding the Fourth Proportional to 335.28, 502.74 and 129.66

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Solution

The fourth proportional to 335.28, 502.74 and 129.66 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.28 : 502.74 = 129.66 : x
  2. Step 2: Convert to fraction form
    335.28/502.74 = 129.66/x
  3. Step 3: Cross multiply
    335.28x = 502.74 × 129.66
  4. Step 4: Simplify right side
    335.28x = 65,185.27
  5. Step 5: Solve for x
    x = 65,185.27/335.28
  6. Step 6: Final answer
    x = 194.42

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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.