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Finding the Fourth Proportional to 331.31, 497.00 and 138.94

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Solution

The fourth proportional to 331.31, 497.00 and 138.94 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 497.00 = 138.94 : x
  2. Step 2: Convert to fraction form
    331.31/497.00 = 138.94/x
  3. Step 3: Cross multiply
    331.31x = 497.00 × 138.94
  4. Step 4: Simplify right side
    331.31x = 69,052.28
  5. Step 5: Solve for x
    x = 69,052.28/331.31
  6. Step 6: Final answer
    x = 208.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.