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Finding the Fourth Proportional to 293.62, 405.23 and 219.81

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Solution

The fourth proportional to 293.62, 405.23 and 219.81 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.62 : 405.23 = 219.81 : x
  2. Step 2: Convert to fraction form
    293.62/405.23 = 219.81/x
  3. Step 3: Cross multiply
    293.62x = 405.23 × 219.81
  4. Step 4: Simplify right side
    293.62x = 89,073.61
  5. Step 5: Solve for x
    x = 89,073.61/293.62
  6. Step 6: Final answer
    x = 303.36

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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.