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Finding the Fourth Proportional to 335.13, 502.96 and 172.86

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Solution

The fourth proportional to 335.13, 502.96 and 172.86 is: 259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.13 : 502.96 = 172.86 : x
  2. Step 2: Convert to fraction form
    335.13/502.96 = 172.86/x
  3. Step 3: Cross multiply
    335.13x = 502.96 × 172.86
  4. Step 4: Simplify right side
    335.13x = 86,939.15
  5. Step 5: Solve for x
    x = 86,939.15/335.13
  6. Step 6: Final answer
    x = 259.42

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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.