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Finding the Fourth Proportional to 293.17, 404.55 and 162.19

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Solution

The fourth proportional to 293.17, 404.55 and 162.19 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 404.55 = 162.19 : x
  2. Step 2: Convert to fraction form
    293.17/404.55 = 162.19/x
  3. Step 3: Cross multiply
    293.17x = 404.55 × 162.19
  4. Step 4: Simplify right side
    293.17x = 65,611.94
  5. Step 5: Solve for x
    x = 65,611.94/293.17
  6. Step 6: Final answer
    x = 223.81

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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.