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Finding the Fourth Proportional to 442.66, 663.37 and 199.25

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Solution

The fourth proportional to 442.66, 663.37 and 199.25 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.66 : 663.37 = 199.25 : x
  2. Step 2: Convert to fraction form
    442.66/663.37 = 199.25/x
  3. Step 3: Cross multiply
    442.66x = 663.37 × 199.25
  4. Step 4: Simplify right side
    442.66x = 132,176.47
  5. Step 5: Solve for x
    x = 132,176.47/442.66
  6. Step 6: Final answer
    x = 298.60

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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.