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Finding the Fourth Proportional to 240.26, 359.69 and 199.49

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Solution

The fourth proportional to 240.26, 359.69 and 199.49 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.26 : 359.69 = 199.49 : x
  2. Step 2: Convert to fraction form
    240.26/359.69 = 199.49/x
  3. Step 3: Cross multiply
    240.26x = 359.69 × 199.49
  4. Step 4: Simplify right side
    240.26x = 71,751.76
  5. Step 5: Solve for x
    x = 71,751.76/240.26
  6. Step 6: Final answer
    x = 298.65

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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.