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Finding the Fourth Proportional to 293.69, 405.30 and 162.71

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Solution

The fourth proportional to 293.69, 405.30 and 162.71 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.69 : 405.30 = 162.71 : x
  2. Step 2: Convert to fraction form
    293.69/405.30 = 162.71/x
  3. Step 3: Cross multiply
    293.69x = 405.30 × 162.71
  4. Step 4: Simplify right side
    293.69x = 65,945.55
  5. Step 5: Solve for x
    x = 65,945.55/293.69
  6. Step 6: Final answer
    x = 224.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.