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Finding the Fourth Proportional to 239.90, 331.02 and 213.77

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Solution

The fourth proportional to 239.90, 331.02 and 213.77 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.90 : 331.02 = 213.77 : x
  2. Step 2: Convert to fraction form
    239.90/331.02 = 213.77/x
  3. Step 3: Cross multiply
    239.90x = 331.02 × 213.77
  4. Step 4: Simplify right side
    239.90x = 70,762.97
  5. Step 5: Solve for x
    x = 70,762.97/239.90
  6. Step 6: Final answer
    x = 294.97

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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.