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Finding the Fourth Proportional to 199.14, 274.82 and 125.44

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Solution

The fourth proportional to 199.14, 274.82 and 125.44 is: 173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 274.82 = 125.44 : x
  2. Step 2: Convert to fraction form
    199.14/274.82 = 125.44/x
  3. Step 3: Cross multiply
    199.14x = 274.82 × 125.44
  4. Step 4: Simplify right side
    199.14x = 34,473.42
  5. Step 5: Solve for x
    x = 34,473.42/199.14
  6. Step 6: Final answer
    x = 173.11

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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.