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Finding the Fourth Proportional to 337.86, 466.02 and 213.68

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Solution

The fourth proportional to 337.86, 466.02 and 213.68 is: 294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.86 : 466.02 = 213.68 : x
  2. Step 2: Convert to fraction form
    337.86/466.02 = 213.68/x
  3. Step 3: Cross multiply
    337.86x = 466.02 × 213.68
  4. Step 4: Simplify right side
    337.86x = 99,576.82
  5. Step 5: Solve for x
    x = 99,576.82/337.86
  6. Step 6: Final answer
    x = 294.73

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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.