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Finding the Fourth Proportional to 293.22, 404.62 and 162.23

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Solution

The fourth proportional to 293.22, 404.62 and 162.23 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 404.62 = 162.23 : x
  2. Step 2: Convert to fraction form
    293.22/404.62 = 162.23/x
  3. Step 3: Cross multiply
    293.22x = 404.62 × 162.23
  4. Step 4: Simplify right side
    293.22x = 65,639.07
  5. Step 5: Solve for x
    x = 65,639.07/293.22
  6. Step 6: Final answer
    x = 223.86

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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.