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Finding the Fourth Proportional to 299.69, 413.58 and 212.55

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Solution

The fourth proportional to 299.69, 413.58 and 212.55 is: 293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 413.58 = 212.55 : x
  2. Step 2: Convert to fraction form
    299.69/413.58 = 212.55/x
  3. Step 3: Cross multiply
    299.69x = 413.58 × 212.55
  4. Step 4: Simplify right side
    299.69x = 87,904.36
  5. Step 5: Solve for x
    x = 87,904.36/299.69
  6. Step 6: Final answer
    x = 293.32

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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.