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Finding the Fourth Proportional to 335.18, 502.96 and 164.18

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Solution

The fourth proportional to 335.18, 502.96 and 164.18 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 502.96 = 164.18 : x
  2. Step 2: Convert to fraction form
    335.18/502.96 = 164.18/x
  3. Step 3: Cross multiply
    335.18x = 502.96 × 164.18
  4. Step 4: Simplify right side
    335.18x = 82,575.97
  5. Step 5: Solve for x
    x = 82,575.97/335.18
  6. Step 6: Final answer
    x = 246.36

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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.