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Finding the Fourth Proportional to 199.21, 274.91 and 111.88

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Solution

The fourth proportional to 199.21, 274.91 and 111.88 is: 154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.21 : 274.91 = 111.88 : x
  2. Step 2: Convert to fraction form
    199.21/274.91 = 111.88/x
  3. Step 3: Cross multiply
    199.21x = 274.91 × 111.88
  4. Step 4: Simplify right side
    199.21x = 30,756.93
  5. Step 5: Solve for x
    x = 30,756.93/199.21
  6. Step 6: Final answer
    x = 154.39

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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.