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Finding the Fourth Proportional to 335.20, 462.58 and 218.69

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Solution

The fourth proportional to 335.20, 462.58 and 218.69 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.20 : 462.58 = 218.69 : x
  2. Step 2: Convert to fraction form
    335.20/462.58 = 218.69/x
  3. Step 3: Cross multiply
    335.20x = 462.58 × 218.69
  4. Step 4: Simplify right side
    335.20x = 101,160.53
  5. Step 5: Solve for x
    x = 101,160.53/335.20
  6. Step 6: Final answer
    x = 301.80

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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.