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Finding the Fourth Proportional to 208.98, 311.67 and 202.23

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Solution

The fourth proportional to 208.98, 311.67 and 202.23 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 311.67 = 202.23 : x
  2. Step 2: Convert to fraction form
    208.98/311.67 = 202.23/x
  3. Step 3: Cross multiply
    208.98x = 311.67 × 202.23
  4. Step 4: Simplify right side
    208.98x = 63,029.02
  5. Step 5: Solve for x
    x = 63,029.02/208.98
  6. Step 6: Final answer
    x = 301.60

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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.