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Finding the Fourth Proportional to 272.94, 409.61 and 200.98

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Solution

The fourth proportional to 272.94, 409.61 and 200.98 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 409.61 = 200.98 : x
  2. Step 2: Convert to fraction form
    272.94/409.61 = 200.98/x
  3. Step 3: Cross multiply
    272.94x = 409.61 × 200.98
  4. Step 4: Simplify right side
    272.94x = 82,323.42
  5. Step 5: Solve for x
    x = 82,323.42/272.94
  6. Step 6: Final answer
    x = 301.62

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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.