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Finding the Fourth Proportional to 337.63, 466.11 and 227.69

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Solution

The fourth proportional to 337.63, 466.11 and 227.69 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.63 : 466.11 = 227.69 : x
  2. Step 2: Convert to fraction form
    337.63/466.11 = 227.69/x
  3. Step 3: Cross multiply
    337.63x = 466.11 × 227.69
  4. Step 4: Simplify right side
    337.63x = 106,125.12
  5. Step 5: Solve for x
    x = 106,125.12/337.63
  6. Step 6: Final answer
    x = 314.32

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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.