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Finding the Fourth Proportional to 337.82, 466.10 and 227.33

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Solution

The fourth proportional to 337.82, 466.10 and 227.33 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.82 : 466.10 = 227.33 : x
  2. Step 2: Convert to fraction form
    337.82/466.10 = 227.33/x
  3. Step 3: Cross multiply
    337.82x = 466.10 × 227.33
  4. Step 4: Simplify right side
    337.82x = 105,955.05
  5. Step 5: Solve for x
    x = 105,955.05/337.82
  6. Step 6: Final answer
    x = 313.65

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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.