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Finding the Fourth Proportional to 274.27, 378.80 and 212.84

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Solution

The fourth proportional to 274.27, 378.80 and 212.84 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.27 : 378.80 = 212.84 : x
  2. Step 2: Convert to fraction form
    274.27/378.80 = 212.84/x
  3. Step 3: Cross multiply
    274.27x = 378.80 × 212.84
  4. Step 4: Simplify right side
    274.27x = 80,623.79
  5. Step 5: Solve for x
    x = 80,623.79/274.27
  6. Step 6: Final answer
    x = 293.96

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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.