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Finding the Fourth Proportional to 274.44, 376.50 and 266.84

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Solution

The fourth proportional to 274.44, 376.50 and 266.84 is: 366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 376.50 = 266.84 : x
  2. Step 2: Convert to fraction form
    274.44/376.50 = 266.84/x
  3. Step 3: Cross multiply
    274.44x = 376.50 × 266.84
  4. Step 4: Simplify right side
    274.44x = 100,466.41
  5. Step 5: Solve for x
    x = 100,466.41/274.44
  6. Step 6: Final answer
    x = 366.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.