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Finding the Fourth Proportional to 293.96, 405.65 and 162.96

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Solution

The fourth proportional to 293.96, 405.65 and 162.96 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 405.65 = 162.96 : x
  2. Step 2: Convert to fraction form
    293.96/405.65 = 162.96/x
  3. Step 3: Cross multiply
    293.96x = 405.65 × 162.96
  4. Step 4: Simplify right side
    293.96x = 66,103.91
  5. Step 5: Solve for x
    x = 66,103.91/293.96
  6. Step 6: Final answer
    x = 224.88

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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.