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Finding the Fourth Proportional to 337.78, 466.31 and 205.02

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Solution

The fourth proportional to 337.78, 466.31 and 205.02 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 466.31 = 205.02 : x
  2. Step 2: Convert to fraction form
    337.78/466.31 = 205.02/x
  3. Step 3: Cross multiply
    337.78x = 466.31 × 205.02
  4. Step 4: Simplify right side
    337.78x = 95,602.88
  5. Step 5: Solve for x
    x = 95,602.88/337.78
  6. Step 6: Final answer
    x = 283.03

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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.