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Finding the Fourth Proportional to 277.38, 382.90 and 204.22

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Solution

The fourth proportional to 277.38, 382.90 and 204.22 is: 281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 382.90 = 204.22 : x
  2. Step 2: Convert to fraction form
    277.38/382.90 = 204.22/x
  3. Step 3: Cross multiply
    277.38x = 382.90 × 204.22
  4. Step 4: Simplify right side
    277.38x = 78,195.84
  5. Step 5: Solve for x
    x = 78,195.84/277.38
  6. Step 6: Final answer
    x = 281.91

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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.