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Finding the Fourth Proportional to 299.06, 412.53 and 205.76

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Solution

The fourth proportional to 299.06, 412.53 and 205.76 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 412.53 = 205.76 : x
  2. Step 2: Convert to fraction form
    299.06/412.53 = 205.76/x
  3. Step 3: Cross multiply
    299.06x = 412.53 × 205.76
  4. Step 4: Simplify right side
    299.06x = 84,880.11
  5. Step 5: Solve for x
    x = 84,880.11/299.06
  6. Step 6: Final answer
    x = 283.83

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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.