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Finding the Fourth Proportional to 293.35, 404.78 and 167.29

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Solution

The fourth proportional to 293.35, 404.78 and 167.29 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.35 : 404.78 = 167.29 : x
  2. Step 2: Convert to fraction form
    293.35/404.78 = 167.29/x
  3. Step 3: Cross multiply
    293.35x = 404.78 × 167.29
  4. Step 4: Simplify right side
    293.35x = 67,716.02
  5. Step 5: Solve for x
    x = 67,716.02/293.35
  6. Step 6: Final answer
    x = 230.84

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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.