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Finding the Fourth Proportional to 273.56, 377.49 and 149.21

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Solution

The fourth proportional to 273.56, 377.49 and 149.21 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.56 : 377.49 = 149.21 : x
  2. Step 2: Convert to fraction form
    273.56/377.49 = 149.21/x
  3. Step 3: Cross multiply
    273.56x = 377.49 × 149.21
  4. Step 4: Simplify right side
    273.56x = 56,323.40
  5. Step 5: Solve for x
    x = 56,323.40/273.56
  6. Step 6: Final answer
    x = 205.89

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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.