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Finding the Fourth Proportional to 208.49, 311.05 and 201.02

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Solution

The fourth proportional to 208.49, 311.05 and 201.02 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 311.05 = 201.02 : x
  2. Step 2: Convert to fraction form
    208.49/311.05 = 201.02/x
  3. Step 3: Cross multiply
    208.49x = 311.05 × 201.02
  4. Step 4: Simplify right side
    208.49x = 62,527.27
  5. Step 5: Solve for x
    x = 62,527.27/208.49
  6. Step 6: Final answer
    x = 299.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.