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Finding the Fourth Proportional to 199.99, 275.79 and 163.09

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Solution

The fourth proportional to 199.99, 275.79 and 163.09 is: 224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.99 : 275.79 = 163.09 : x
  2. Step 2: Convert to fraction form
    199.99/275.79 = 163.09/x
  3. Step 3: Cross multiply
    199.99x = 275.79 × 163.09
  4. Step 4: Simplify right side
    199.99x = 44,978.59
  5. Step 5: Solve for x
    x = 44,978.59/199.99
  6. Step 6: Final answer
    x = 224.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.