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Finding the Fourth Proportional to 442.37, 663.08 and 198.56

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Solution

The fourth proportional to 442.37, 663.08 and 198.56 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 663.08 = 198.56 : x
  2. Step 2: Convert to fraction form
    442.37/663.08 = 198.56/x
  3. Step 3: Cross multiply
    442.37x = 663.08 × 198.56
  4. Step 4: Simplify right side
    442.37x = 131,661.16
  5. Step 5: Solve for x
    x = 131,661.16/442.37
  6. Step 6: Final answer
    x = 297.63

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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.