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Finding the Fourth Proportional to 199.58, 273.90 and 194.42

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Solution

The fourth proportional to 199.58, 273.90 and 194.42 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.58 : 273.90 = 194.42 : x
  2. Step 2: Convert to fraction form
    199.58/273.90 = 194.42/x
  3. Step 3: Cross multiply
    199.58x = 273.90 × 194.42
  4. Step 4: Simplify right side
    199.58x = 53,250.42
  5. Step 5: Solve for x
    x = 53,250.42/199.58
  6. Step 6: Final answer
    x = 266.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.