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Finding the Fourth Proportional to 337.74, 466.14 and 227.22

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Solution

The fourth proportional to 337.74, 466.14 and 227.22 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.74 : 466.14 = 227.22 : x
  2. Step 2: Convert to fraction form
    337.74/466.14 = 227.22/x
  3. Step 3: Cross multiply
    337.74x = 466.14 × 227.22
  4. Step 4: Simplify right side
    337.74x = 105,916.33
  5. Step 5: Solve for x
    x = 105,916.33/337.74
  6. Step 6: Final answer
    x = 313.60

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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.