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Finding the Fourth Proportional to 327.82, 492.48 and 198.16

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Solution

The fourth proportional to 327.82, 492.48 and 198.16 is: 297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 492.48 = 198.16 : x
  2. Step 2: Convert to fraction form
    327.82/492.48 = 198.16/x
  3. Step 3: Cross multiply
    327.82x = 492.48 × 198.16
  4. Step 4: Simplify right side
    327.82x = 97,589.84
  5. Step 5: Solve for x
    x = 97,589.84/327.82
  6. Step 6: Final answer
    x = 297.69

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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.