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Finding the Fourth Proportional to 239.24, 329.91 and 156.42

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Solution

The fourth proportional to 239.24, 329.91 and 156.42 is: 215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.24 : 329.91 = 156.42 : x
  2. Step 2: Convert to fraction form
    239.24/329.91 = 156.42/x
  3. Step 3: Cross multiply
    239.24x = 329.91 × 156.42
  4. Step 4: Simplify right side
    239.24x = 51,604.52
  5. Step 5: Solve for x
    x = 51,604.52/239.24
  6. Step 6: Final answer
    x = 215.71

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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.