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Finding the Fourth Proportional to 274, 377.96 and 200.24

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Solution

The fourth proportional to 274, 377.96 and 200.24 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 377.96 = 200.24 : x
  2. Step 2: Convert to fraction form
    274/377.96 = 200.24/x
  3. Step 3: Cross multiply
    274x = 377.96 × 200.24
  4. Step 4: Simplify right side
    274x = 75,682.71
  5. Step 5: Solve for x
    x = 75,682.71/274
  6. Step 6: Final answer
    x = 276.21

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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.