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Finding the Fourth Proportional to 198.22, 298.40 and 178.38

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Solution

The fourth proportional to 198.22, 298.40 and 178.38 is: 268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 298.40 = 178.38 : x
  2. Step 2: Convert to fraction form
    198.22/298.40 = 178.38/x
  3. Step 3: Cross multiply
    198.22x = 298.40 × 178.38
  4. Step 4: Simplify right side
    198.22x = 53,228.59
  5. Step 5: Solve for x
    x = 53,228.59/198.22
  6. Step 6: Final answer
    x = 268.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.