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Finding the Fourth Proportional to 337.59, 465.86 and 213.18

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Solution

The fourth proportional to 337.59, 465.86 and 213.18 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.59 : 465.86 = 213.18 : x
  2. Step 2: Convert to fraction form
    337.59/465.86 = 213.18/x
  3. Step 3: Cross multiply
    337.59x = 465.86 × 213.18
  4. Step 4: Simplify right side
    337.59x = 99,310.97
  5. Step 5: Solve for x
    x = 99,310.97/337.59
  6. Step 6: Final answer
    x = 294.18

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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.