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Finding the Fourth Proportional to 299.64, 413.58 and 200.06

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Solution

The fourth proportional to 299.64, 413.58 and 200.06 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 413.58 = 200.06 : x
  2. Step 2: Convert to fraction form
    299.64/413.58 = 200.06/x
  3. Step 3: Cross multiply
    299.64x = 413.58 × 200.06
  4. Step 4: Simplify right side
    299.64x = 82,741.05
  5. Step 5: Solve for x
    x = 82,741.05/299.64
  6. Step 6: Final answer
    x = 276.13

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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.