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Finding the Fourth Proportional to 299.10, 412.60 and 205.84

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Solution

The fourth proportional to 299.10, 412.60 and 205.84 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.60 = 205.84 : x
  2. Step 2: Convert to fraction form
    299.10/412.60 = 205.84/x
  3. Step 3: Cross multiply
    299.10x = 412.60 × 205.84
  4. Step 4: Simplify right side
    299.10x = 84,929.58
  5. Step 5: Solve for x
    x = 84,929.58/299.10
  6. Step 6: Final answer
    x = 283.95

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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.