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Finding the Fourth Proportional to 273.70, 377.60 and 180.49

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Solution

The fourth proportional to 273.70, 377.60 and 180.49 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 377.60 = 180.49 : x
  2. Step 2: Convert to fraction form
    273.70/377.60 = 180.49/x
  3. Step 3: Cross multiply
    273.70x = 377.60 × 180.49
  4. Step 4: Simplify right side
    273.70x = 68,150.23
  5. Step 5: Solve for x
    x = 68,150.23/273.70
  6. Step 6: Final answer
    x = 249.00

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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.