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Finding the Fourth Proportional to 271.23, 373.46 and 204.95

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Solution

The fourth proportional to 271.23, 373.46 and 204.95 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.23 : 373.46 = 204.95 : x
  2. Step 2: Convert to fraction form
    271.23/373.46 = 204.95/x
  3. Step 3: Cross multiply
    271.23x = 373.46 × 204.95
  4. Step 4: Simplify right side
    271.23x = 76,537.73
  5. Step 5: Solve for x
    x = 76,537.73/271.23
  6. Step 6: Final answer
    x = 282.19

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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.