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Finding the Fourth Proportional to 337.72, 465.96 and 218.12

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Solution

The fourth proportional to 337.72, 465.96 and 218.12 is: 300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 465.96 = 218.12 : x
  2. Step 2: Convert to fraction form
    337.72/465.96 = 218.12/x
  3. Step 3: Cross multiply
    337.72x = 465.96 × 218.12
  4. Step 4: Simplify right side
    337.72x = 101,635.20
  5. Step 5: Solve for x
    x = 101,635.20/337.72
  6. Step 6: Final answer
    x = 300.95

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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.