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Finding the Fourth Proportional to 239.59, 359.52 and 142.27

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Solution

The fourth proportional to 239.59, 359.52 and 142.27 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.59 : 359.52 = 142.27 : x
  2. Step 2: Convert to fraction form
    239.59/359.52 = 142.27/x
  3. Step 3: Cross multiply
    239.59x = 359.52 × 142.27
  4. Step 4: Simplify right side
    239.59x = 51,148.91
  5. Step 5: Solve for x
    x = 51,148.91/239.59
  6. Step 6: Final answer
    x = 213.49

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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.