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Finding the Fourth Proportional to 273.73, 377.76 and 149.39

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Solution

The fourth proportional to 273.73, 377.76 and 149.39 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.73 : 377.76 = 149.39 : x
  2. Step 2: Convert to fraction form
    273.73/377.76 = 149.39/x
  3. Step 3: Cross multiply
    273.73x = 377.76 × 149.39
  4. Step 4: Simplify right side
    273.73x = 56,430.93
  5. Step 5: Solve for x
    x = 56,430.93/273.73
  6. Step 6: Final answer
    x = 206.15

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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.