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Finding the Fourth Proportional to 198, 297 and 165.96

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Solution

The fourth proportional to 198, 297 and 165.96 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 297 = 165.96 : x
  2. Step 2: Convert to fraction form
    198/297 = 165.96/x
  3. Step 3: Cross multiply
    198x = 297 × 165.96
  4. Step 4: Simplify right side
    198x = 49,290.12
  5. Step 5: Solve for x
    x = 49,290.12/198
  6. Step 6: Final answer
    x = 248.94

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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.