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Finding the Fourth Proportional to 442.78, 664.37 and 199.17

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Solution

The fourth proportional to 442.78, 664.37 and 199.17 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 664.37 = 199.17 : x
  2. Step 2: Convert to fraction form
    442.78/664.37 = 199.17/x
  3. Step 3: Cross multiply
    442.78x = 664.37 × 199.17
  4. Step 4: Simplify right side
    442.78x = 132,323.07
  5. Step 5: Solve for x
    x = 132,323.07/442.78
  6. Step 6: Final answer
    x = 298.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.