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Finding the Fourth Proportional to 273.42, 376.71 and 190.38

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Solution

The fourth proportional to 273.42, 376.71 and 190.38 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 376.71 = 190.38 : x
  2. Step 2: Convert to fraction form
    273.42/376.71 = 190.38/x
  3. Step 3: Cross multiply
    273.42x = 376.71 × 190.38
  4. Step 4: Simplify right side
    273.42x = 71,718.05
  5. Step 5: Solve for x
    x = 71,718.05/273.42
  6. Step 6: Final answer
    x = 262.30

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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.