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Finding the Fourth Proportional to 293.77, 405.43 and 162.80

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Solution

The fourth proportional to 293.77, 405.43 and 162.80 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.77 : 405.43 = 162.80 : x
  2. Step 2: Convert to fraction form
    293.77/405.43 = 162.80/x
  3. Step 3: Cross multiply
    293.77x = 405.43 × 162.80
  4. Step 4: Simplify right side
    293.77x = 66,003.09
  5. Step 5: Solve for x
    x = 66,003.09/293.77
  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.