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Finding the Fourth Proportional to 274.22, 378.32 and 200.38

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Solution

The fourth proportional to 274.22, 378.32 and 200.38 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 378.32 = 200.38 : x
  2. Step 2: Convert to fraction form
    274.22/378.32 = 200.38/x
  3. Step 3: Cross multiply
    274.22x = 378.32 × 200.38
  4. Step 4: Simplify right side
    274.22x = 75,807.76
  5. Step 5: Solve for x
    x = 75,807.76/274.22
  6. Step 6: Final answer
    x = 276.45

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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.