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Finding the Fourth Proportional to 293.96, 406.06 and 239.38

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Solution

The fourth proportional to 293.96, 406.06 and 239.38 is: 330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 406.06 = 239.38 : x
  2. Step 2: Convert to fraction form
    293.96/406.06 = 239.38/x
  3. Step 3: Cross multiply
    293.96x = 406.06 × 239.38
  4. Step 4: Simplify right side
    293.96x = 97,201.03
  5. Step 5: Solve for x
    x = 97,201.03/293.96
  6. Step 6: Final answer
    x = 330.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.