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Finding the Fourth Proportional to 274.82, 378.69 and 212.27

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Solution

The fourth proportional to 274.82, 378.69 and 212.27 is: 292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.82 : 378.69 = 212.27 : x
  2. Step 2: Convert to fraction form
    274.82/378.69 = 212.27/x
  3. Step 3: Cross multiply
    274.82x = 378.69 × 212.27
  4. Step 4: Simplify right side
    274.82x = 80,384.53
  5. Step 5: Solve for x
    x = 80,384.53/274.82
  6. Step 6: Final answer
    x = 292.50

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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.