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Finding the Fourth Proportional to 358.13, 493.94 and 218.19

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Solution

The fourth proportional to 358.13, 493.94 and 218.19 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 493.94 = 218.19 : x
  2. Step 2: Convert to fraction form
    358.13/493.94 = 218.19/x
  3. Step 3: Cross multiply
    358.13x = 493.94 × 218.19
  4. Step 4: Simplify right side
    358.13x = 107,771.68
  5. Step 5: Solve for x
    x = 107,771.68/358.13
  6. Step 6: Final answer
    x = 300.93

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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.