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Finding the Fourth Proportional to 274.12, 377.98 and 204.22

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Solution

The fourth proportional to 274.12, 377.98 and 204.22 is: 281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 377.98 = 204.22 : x
  2. Step 2: Convert to fraction form
    274.12/377.98 = 204.22/x
  3. Step 3: Cross multiply
    274.12x = 377.98 × 204.22
  4. Step 4: Simplify right side
    274.12x = 77,191.08
  5. Step 5: Solve for x
    x = 77,191.08/274.12
  6. Step 6: Final answer
    x = 281.60

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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.