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Finding the Fourth Proportional to 293.66, 405.23 and 162.64

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Solution

The fourth proportional to 293.66, 405.23 and 162.64 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 405.23 = 162.64 : x
  2. Step 2: Convert to fraction form
    293.66/405.23 = 162.64/x
  3. Step 3: Cross multiply
    293.66x = 405.23 × 162.64
  4. Step 4: Simplify right side
    293.66x = 65,906.61
  5. Step 5: Solve for x
    x = 65,906.61/293.66
  6. Step 6: Final answer
    x = 224.43

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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.