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Finding the Fourth Proportional to 208.92, 311.58 and 199.80

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Solution

The fourth proportional to 208.92, 311.58 and 199.80 is: 297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 311.58 = 199.80 : x
  2. Step 2: Convert to fraction form
    208.92/311.58 = 199.80/x
  3. Step 3: Cross multiply
    208.92x = 311.58 × 199.80
  4. Step 4: Simplify right side
    208.92x = 62,253.68
  5. Step 5: Solve for x
    x = 62,253.68/208.92
  6. Step 6: Final answer
    x = 297.98

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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.