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Finding the Fourth Proportional to 293.40, 404.90 and 169.07

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Solution

The fourth proportional to 293.40, 404.90 and 169.07 is: 233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 404.90 = 169.07 : x
  2. Step 2: Convert to fraction form
    293.40/404.90 = 169.07/x
  3. Step 3: Cross multiply
    293.40x = 404.90 × 169.07
  4. Step 4: Simplify right side
    293.40x = 68,454.21
  5. Step 5: Solve for x
    x = 68,454.21/293.40
  6. Step 6: Final answer
    x = 233.31

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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.