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Finding the Fourth Proportional to 239.82, 359.43 and 137.16

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Solution

The fourth proportional to 239.82, 359.43 and 137.16 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 359.43 = 137.16 : x
  2. Step 2: Convert to fraction form
    239.82/359.43 = 137.16/x
  3. Step 3: Cross multiply
    239.82x = 359.43 × 137.16
  4. Step 4: Simplify right side
    239.82x = 49,299.42
  5. Step 5: Solve for x
    x = 49,299.42/239.82
  6. Step 6: Final answer
    x = 205.57

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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.