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Finding the Fourth Proportional to 335.09, 502.91 and 172.82

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Solution

The fourth proportional to 335.09, 502.91 and 172.82 is: 259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.09 : 502.91 = 172.82 : x
  2. Step 2: Convert to fraction form
    335.09/502.91 = 172.82/x
  3. Step 3: Cross multiply
    335.09x = 502.91 × 172.82
  4. Step 4: Simplify right side
    335.09x = 86,914.60
  5. Step 5: Solve for x
    x = 86,914.60/335.09
  6. Step 6: Final answer
    x = 259.37

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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.