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Finding the Fourth Proportional to 358.73, 494.92 and 218.81

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Solution

The fourth proportional to 358.73, 494.92 and 218.81 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.73 : 494.92 = 218.81 : x
  2. Step 2: Convert to fraction form
    358.73/494.92 = 218.81/x
  3. Step 3: Cross multiply
    358.73x = 494.92 × 218.81
  4. Step 4: Simplify right side
    358.73x = 108,293.45
  5. Step 5: Solve for x
    x = 108,293.45/358.73
  6. Step 6: Final answer
    x = 301.88

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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.