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Finding the Fourth Proportional to 271.78, 409.04 and 203.67

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Solution

The fourth proportional to 271.78, 409.04 and 203.67 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 409.04 = 203.67 : x
  2. Step 2: Convert to fraction form
    271.78/409.04 = 203.67/x
  3. Step 3: Cross multiply
    271.78x = 409.04 × 203.67
  4. Step 4: Simplify right side
    271.78x = 83,309.18
  5. Step 5: Solve for x
    x = 83,309.18/271.78
  6. Step 6: Final answer
    x = 306.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.