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Finding the Fourth Proportional to 271.45, 407.30 and 206.43

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Solution

The fourth proportional to 271.45, 407.30 and 206.43 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.45 : 407.30 = 206.43 : x
  2. Step 2: Convert to fraction form
    271.45/407.30 = 206.43/x
  3. Step 3: Cross multiply
    271.45x = 407.30 × 206.43
  4. Step 4: Simplify right side
    271.45x = 84,078.94
  5. Step 5: Solve for x
    x = 84,078.94/271.45
  6. Step 6: Final answer
    x = 309.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.