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Finding the Fourth Proportional to 243.12, 364.31 and 200.09

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Solution

The fourth proportional to 243.12, 364.31 and 200.09 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 364.31 = 200.09 : x
  2. Step 2: Convert to fraction form
    243.12/364.31 = 200.09/x
  3. Step 3: Cross multiply
    243.12x = 364.31 × 200.09
  4. Step 4: Simplify right side
    243.12x = 72,895.21
  5. Step 5: Solve for x
    x = 72,895.21/243.12
  6. Step 6: Final answer
    x = 299.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.