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Finding the Fourth Proportional to 239.41, 359.07 and 199

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Solution

The fourth proportional to 239.41, 359.07 and 199 is: 298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.41 : 359.07 = 199 : x
  2. Step 2: Convert to fraction form
    239.41/359.07 = 199/x
  3. Step 3: Cross multiply
    239.41x = 359.07 × 199
  4. Step 4: Simplify right side
    239.41x = 71,454.93
  5. Step 5: Solve for x
    x = 71,454.93/239.41
  6. Step 6: Final answer
    x = 298.46

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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.