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Finding the Fourth Proportional to 293.46, 404.97 and 162.47

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Solution

The fourth proportional to 293.46, 404.97 and 162.47 is: 224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 404.97 = 162.47 : x
  2. Step 2: Convert to fraction form
    293.46/404.97 = 162.47/x
  3. Step 3: Cross multiply
    293.46x = 404.97 × 162.47
  4. Step 4: Simplify right side
    293.46x = 65,793.45
  5. Step 5: Solve for x
    x = 65,793.45/293.46
  6. Step 6: Final answer
    x = 224.20

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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.