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Finding the Fourth Proportional to 293.81, 405.46 and 162.82

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Solution

The fourth proportional to 293.81, 405.46 and 162.82 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.81 : 405.46 = 162.82 : x
  2. Step 2: Convert to fraction form
    293.81/405.46 = 162.82/x
  3. Step 3: Cross multiply
    293.81x = 405.46 × 162.82
  4. Step 4: Simplify right side
    293.81x = 66,017.71
  5. Step 5: Solve for x
    x = 66,017.71/293.81
  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.