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Finding the Fourth Proportional to 239.20, 329.29 and 214.63

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Solution

The fourth proportional to 239.20, 329.29 and 214.63 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 329.29 = 214.63 : x
  2. Step 2: Convert to fraction form
    239.20/329.29 = 214.63/x
  3. Step 3: Cross multiply
    239.20x = 329.29 × 214.63
  4. Step 4: Simplify right side
    239.20x = 70,676.61
  5. Step 5: Solve for x
    x = 70,676.61/239.20
  6. Step 6: Final answer
    x = 295.47

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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.