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Finding the Fourth Proportional to 293.52, 404.94 and 169.12

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Solution

The fourth proportional to 293.52, 404.94 and 169.12 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.52 : 404.94 = 169.12 : x
  2. Step 2: Convert to fraction form
    293.52/404.94 = 169.12/x
  3. Step 3: Cross multiply
    293.52x = 404.94 × 169.12
  4. Step 4: Simplify right side
    293.52x = 68,483.45
  5. Step 5: Solve for x
    x = 68,483.45/293.52
  6. Step 6: Final answer
    x = 233.32

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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.