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Finding the Fourth Proportional to 293.36, 404.84 and 162.37

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Solution

The fourth proportional to 293.36, 404.84 and 162.37 is: 224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 404.84 = 162.37 : x
  2. Step 2: Convert to fraction form
    293.36/404.84 = 162.37/x
  3. Step 3: Cross multiply
    293.36x = 404.84 × 162.37
  4. Step 4: Simplify right side
    293.36x = 65,733.87
  5. Step 5: Solve for x
    x = 65,733.87/293.36
  6. Step 6: Final answer
    x = 224.07

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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.