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Finding the Fourth Proportional to 199.09, 274.82 and 116.22

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Solution

The fourth proportional to 199.09, 274.82 and 116.22 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 274.82 = 116.22 : x
  2. Step 2: Convert to fraction form
    199.09/274.82 = 116.22/x
  3. Step 3: Cross multiply
    199.09x = 274.82 × 116.22
  4. Step 4: Simplify right side
    199.09x = 31,940.03
  5. Step 5: Solve for x
    x = 31,940.03/199.09
  6. Step 6: Final answer
    x = 160.43

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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.