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Finding the Fourth Proportional to 239.82, 359.33 and 191.63

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Solution

The fourth proportional to 239.82, 359.33 and 191.63 is: 287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 359.33 = 191.63 : x
  2. Step 2: Convert to fraction form
    239.82/359.33 = 191.63/x
  3. Step 3: Cross multiply
    239.82x = 359.33 × 191.63
  4. Step 4: Simplify right side
    239.82x = 68,855.65
  5. Step 5: Solve for x
    x = 68,855.65/239.82
  6. Step 6: Final answer
    x = 287.11

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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.