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Finding the Fourth Proportional to 299.14, 413.14 and 206.12

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Solution

The fourth proportional to 299.14, 413.14 and 206.12 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 413.14 = 206.12 : x
  2. Step 2: Convert to fraction form
    299.14/413.14 = 206.12/x
  3. Step 3: Cross multiply
    299.14x = 413.14 × 206.12
  4. Step 4: Simplify right side
    299.14x = 85,156.42
  5. Step 5: Solve for x
    x = 85,156.42/299.14
  6. Step 6: Final answer
    x = 284.67

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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.