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Finding the Fourth Proportional to 273.07, 376.43 and 189.94

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Solution

The fourth proportional to 273.07, 376.43 and 189.94 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 376.43 = 189.94 : x
  2. Step 2: Convert to fraction form
    273.07/376.43 = 189.94/x
  3. Step 3: Cross multiply
    273.07x = 376.43 × 189.94
  4. Step 4: Simplify right side
    273.07x = 71,499.11
  5. Step 5: Solve for x
    x = 71,499.11/273.07
  6. Step 6: Final answer
    x = 261.84

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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.