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Finding the Fourth Proportional to 208.35, 311.84 and 201.06

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Solution

The fourth proportional to 208.35, 311.84 and 201.06 is: 300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.35 : 311.84 = 201.06 : x
  2. Step 2: Convert to fraction form
    208.35/311.84 = 201.06/x
  3. Step 3: Cross multiply
    208.35x = 311.84 × 201.06
  4. Step 4: Simplify right side
    208.35x = 62,697.55
  5. Step 5: Solve for x
    x = 62,697.55/208.35
  6. Step 6: Final answer
    x = 300.92

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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.