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Finding the Fourth Proportional to 208.85, 289.74 and 200.39

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Solution

The fourth proportional to 208.85, 289.74 and 200.39 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 289.74 = 200.39 : x
  2. Step 2: Convert to fraction form
    208.85/289.74 = 200.39/x
  3. Step 3: Cross multiply
    208.85x = 289.74 × 200.39
  4. Step 4: Simplify right side
    208.85x = 58,060.30
  5. Step 5: Solve for x
    x = 58,060.30/208.85
  6. Step 6: Final answer
    x = 278.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.