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Finding the Fourth Proportional to 274.38, 378.84 and 200.80

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Solution

The fourth proportional to 274.38, 378.84 and 200.80 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 378.84 = 200.80 : x
  2. Step 2: Convert to fraction form
    274.38/378.84 = 200.80/x
  3. Step 3: Cross multiply
    274.38x = 378.84 × 200.80
  4. Step 4: Simplify right side
    274.38x = 76,071.07
  5. Step 5: Solve for x
    x = 76,071.07/274.38
  6. Step 6: Final answer
    x = 277.25

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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.