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Finding the Fourth Proportional to 198.16, 297.40 and 167.78

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Solution

The fourth proportional to 198.16, 297.40 and 167.78 is: 251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 297.40 = 167.78 : x
  2. Step 2: Convert to fraction form
    198.16/297.40 = 167.78/x
  3. Step 3: Cross multiply
    198.16x = 297.40 × 167.78
  4. Step 4: Simplify right side
    198.16x = 49,897.77
  5. Step 5: Solve for x
    x = 49,897.77/198.16
  6. Step 6: Final answer
    x = 251.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.