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Finding the Fourth Proportional to 293.82, 405.47 and 162.83

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Solution

The fourth proportional to 293.82, 405.47 and 162.83 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.82 : 405.47 = 162.83 : x
  2. Step 2: Convert to fraction form
    293.82/405.47 = 162.83/x
  3. Step 3: Cross multiply
    293.82x = 405.47 × 162.83
  4. Step 4: Simplify right side
    293.82x = 66,019.84
  5. Step 5: Solve for x
    x = 66,019.84/293.82
  6. Step 6: Final answer
    x = 224.69

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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.