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Finding the Fourth Proportional to 273.60, 378.51 and 224.38

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Solution

The fourth proportional to 273.60, 378.51 and 224.38 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.60 : 378.51 = 224.38 : x
  2. Step 2: Convert to fraction form
    273.60/378.51 = 224.38/x
  3. Step 3: Cross multiply
    273.60x = 378.51 × 224.38
  4. Step 4: Simplify right side
    273.60x = 84,930.07
  5. Step 5: Solve for x
    x = 84,930.07/273.60
  6. Step 6: Final answer
    x = 310.42

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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.