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Finding the Fourth Proportional to 293.69, 405.33 and 162.74

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Solution

The fourth proportional to 293.69, 405.33 and 162.74 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.69 : 405.33 = 162.74 : x
  2. Step 2: Convert to fraction form
    293.69/405.33 = 162.74/x
  3. Step 3: Cross multiply
    293.69x = 405.33 × 162.74
  4. Step 4: Simplify right side
    293.69x = 65,963.40
  5. Step 5: Solve for x
    x = 65,963.40/293.69
  6. Step 6: Final answer
    x = 224.60

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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.