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Finding the Fourth Proportional to 274.20, 377.88 and 212.22

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Solution

The fourth proportional to 274.20, 377.88 and 212.22 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 377.88 = 212.22 : x
  2. Step 2: Convert to fraction form
    274.20/377.88 = 212.22/x
  3. Step 3: Cross multiply
    274.20x = 377.88 × 212.22
  4. Step 4: Simplify right side
    274.20x = 80,193.69
  5. Step 5: Solve for x
    x = 80,193.69/274.20
  6. Step 6: Final answer
    x = 292.46

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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.