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Finding the Fourth Proportional to 293.40, 404.91 and 162.44

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Solution

The fourth proportional to 293.40, 404.91 and 162.44 is: 224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 404.91 = 162.44 : x
  2. Step 2: Convert to fraction form
    293.40/404.91 = 162.44/x
  3. Step 3: Cross multiply
    293.40x = 404.91 × 162.44
  4. Step 4: Simplify right side
    293.40x = 65,771.56
  5. Step 5: Solve for x
    x = 65,771.56/293.40
  6. Step 6: Final answer
    x = 224.17

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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.