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Finding the Fourth Proportional to 273.65, 377.96 and 224.69

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Solution

The fourth proportional to 273.65, 377.96 and 224.69 is: 310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.65 : 377.96 = 224.69 : x
  2. Step 2: Convert to fraction form
    273.65/377.96 = 224.69/x
  3. Step 3: Cross multiply
    273.65x = 377.96 × 224.69
  4. Step 4: Simplify right side
    273.65x = 84,920.82
  5. Step 5: Solve for x
    x = 84,920.82/273.65
  6. Step 6: Final answer
    x = 310.33

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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.