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Finding the Fourth Proportional to 293.57, 405.13 and 169.23

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Solution

The fourth proportional to 293.57, 405.13 and 169.23 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 405.13 = 169.23 : x
  2. Step 2: Convert to fraction form
    293.57/405.13 = 169.23/x
  3. Step 3: Cross multiply
    293.57x = 405.13 × 169.23
  4. Step 4: Simplify right side
    293.57x = 68,560.15
  5. Step 5: Solve for x
    x = 68,560.15/293.57
  6. Step 6: Final answer
    x = 233.54

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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.