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Finding the Fourth Proportional to 293.82, 405.44 and 162.82

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Solution

The fourth proportional to 293.82, 405.44 and 162.82 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.82 : 405.44 = 162.82 : x
  2. Step 2: Convert to fraction form
    293.82/405.44 = 162.82/x
  3. Step 3: Cross multiply
    293.82x = 405.44 × 162.82
  4. Step 4: Simplify right side
    293.82x = 66,014.04
  5. Step 5: Solve for x
    x = 66,014.04/293.82
  6. Step 6: Final answer
    x = 224.68

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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.