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Finding the Fourth Proportional to 208.12, 309.72 and 201.37

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Solution

The fourth proportional to 208.12, 309.72 and 201.37 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.12 : 309.72 = 201.37 : x
  2. Step 2: Convert to fraction form
    208.12/309.72 = 201.37/x
  3. Step 3: Cross multiply
    208.12x = 309.72 × 201.37
  4. Step 4: Simplify right side
    208.12x = 62,365.76
  5. Step 5: Solve for x
    x = 62,365.76/208.12
  6. Step 6: Final answer
    x = 299.67

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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.