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Finding the Fourth Proportional to 293.09, 404.42 and 162.09

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Solution

The fourth proportional to 293.09, 404.42 and 162.09 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 404.42 = 162.09 : x
  2. Step 2: Convert to fraction form
    293.09/404.42 = 162.09/x
  3. Step 3: Cross multiply
    293.09x = 404.42 × 162.09
  4. Step 4: Simplify right side
    293.09x = 65,551.63
  5. Step 5: Solve for x
    x = 65,551.63/293.09
  6. Step 6: Final answer
    x = 223.66

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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.