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Finding the Fourth Proportional to 274.30, 378.74 and 212.33

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Solution

The fourth proportional to 274.30, 378.74 and 212.33 is: 293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 378.74 = 212.33 : x
  2. Step 2: Convert to fraction form
    274.30/378.74 = 212.33/x
  3. Step 3: Cross multiply
    274.30x = 378.74 × 212.33
  4. Step 4: Simplify right side
    274.30x = 80,419.34
  5. Step 5: Solve for x
    x = 80,419.34/274.30
  6. Step 6: Final answer
    x = 293.18

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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.