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Finding the Fourth Proportional to 335.48, 502.62 and 180.86

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Solution

The fourth proportional to 335.48, 502.62 and 180.86 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.48 : 502.62 = 180.86 : x
  2. Step 2: Convert to fraction form
    335.48/502.62 = 180.86/x
  3. Step 3: Cross multiply
    335.48x = 502.62 × 180.86
  4. Step 4: Simplify right side
    335.48x = 90,903.85
  5. Step 5: Solve for x
    x = 90,903.85/335.48
  6. Step 6: Final answer
    x = 270.97

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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.