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Finding the Fourth Proportional to 299.22, 412.70 and 200.94

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Solution

The fourth proportional to 299.22, 412.70 and 200.94 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 412.70 = 200.94 : x
  2. Step 2: Convert to fraction form
    299.22/412.70 = 200.94/x
  3. Step 3: Cross multiply
    299.22x = 412.70 × 200.94
  4. Step 4: Simplify right side
    299.22x = 82,926.93
  5. Step 5: Solve for x
    x = 82,926.93/299.22
  6. Step 6: Final answer
    x = 277.14

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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.