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Finding the Fourth Proportional to 293.33, 404.71 and 167.29

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Solution

The fourth proportional to 293.33, 404.71 and 167.29 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.33 : 404.71 = 167.29 : x
  2. Step 2: Convert to fraction form
    293.33/404.71 = 167.29/x
  3. Step 3: Cross multiply
    293.33x = 404.71 × 167.29
  4. Step 4: Simplify right side
    293.33x = 67,704.78
  5. Step 5: Solve for x
    x = 67,704.78/293.33
  6. Step 6: Final answer
    x = 230.81

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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.