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Finding the Fourth Proportional to 208.36, 309.28 and 194.86

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Solution

The fourth proportional to 208.36, 309.28 and 194.86 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.36 : 309.28 = 194.86 : x
  2. Step 2: Convert to fraction form
    208.36/309.28 = 194.86/x
  3. Step 3: Cross multiply
    208.36x = 309.28 × 194.86
  4. Step 4: Simplify right side
    208.36x = 60,266.30
  5. Step 5: Solve for x
    x = 60,266.30/208.36
  6. Step 6: Final answer
    x = 289.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.