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Finding the Fourth Proportional to 273.74, 377.74 and 161.71

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Solution

The fourth proportional to 273.74, 377.74 and 161.71 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 377.74 = 161.71 : x
  2. Step 2: Convert to fraction form
    273.74/377.74 = 161.71/x
  3. Step 3: Cross multiply
    273.74x = 377.74 × 161.71
  4. Step 4: Simplify right side
    273.74x = 61,084.34
  5. Step 5: Solve for x
    x = 61,084.34/273.74
  6. Step 6: Final answer
    x = 223.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.