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Finding the Fourth Proportional to 208.44, 311.04 and 200.40

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Solution

The fourth proportional to 208.44, 311.04 and 200.40 is: 299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 311.04 = 200.40 : x
  2. Step 2: Convert to fraction form
    208.44/311.04 = 200.40/x
  3. Step 3: Cross multiply
    208.44x = 311.04 × 200.40
  4. Step 4: Simplify right side
    208.44x = 62,332.42
  5. Step 5: Solve for x
    x = 62,332.42/208.44
  6. Step 6: Final answer
    x = 299.04

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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.