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Finding the Fourth Proportional to 337.78, 466.06 and 204.96

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Solution

The fourth proportional to 337.78, 466.06 and 204.96 is: 282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 466.06 = 204.96 : x
  2. Step 2: Convert to fraction form
    337.78/466.06 = 204.96/x
  3. Step 3: Cross multiply
    337.78x = 466.06 × 204.96
  4. Step 4: Simplify right side
    337.78x = 95,523.66
  5. Step 5: Solve for x
    x = 95,523.66/337.78
  6. Step 6: Final answer
    x = 282.80

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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.