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Finding the Fourth Proportional to 293.63, 405.23 and 162.65

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Solution

The fourth proportional to 293.63, 405.23 and 162.65 is: 224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 405.23 = 162.65 : x
  2. Step 2: Convert to fraction form
    293.63/405.23 = 162.65/x
  3. Step 3: Cross multiply
    293.63x = 405.23 × 162.65
  4. Step 4: Simplify right side
    293.63x = 65,910.86
  5. Step 5: Solve for x
    x = 65,910.86/293.63
  6. Step 6: Final answer
    x = 224.47

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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.