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Finding the Fourth Proportional to 442.67, 664.23 and 199.13

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Solution

The fourth proportional to 442.67, 664.23 and 199.13 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.67 : 664.23 = 199.13 : x
  2. Step 2: Convert to fraction form
    442.67/664.23 = 199.13/x
  3. Step 3: Cross multiply
    442.67x = 664.23 × 199.13
  4. Step 4: Simplify right side
    442.67x = 132,268.12
  5. Step 5: Solve for x
    x = 132,268.12/442.67
  6. Step 6: Final answer
    x = 298.80

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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.