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Finding the Fourth Proportional to 198, 295.50 and 196.08

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Solution

The fourth proportional to 198, 295.50 and 196.08 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 295.50 = 196.08 : x
  2. Step 2: Convert to fraction form
    198/295.50 = 196.08/x
  3. Step 3: Cross multiply
    198x = 295.50 × 196.08
  4. Step 4: Simplify right side
    198x = 57,941.64
  5. Step 5: Solve for x
    x = 57,941.64/198
  6. Step 6: Final answer
    x = 292.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.