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Finding the Fourth Proportional to 221.40, 332.35 and 198.41

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Solution

The fourth proportional to 221.40, 332.35 and 198.41 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.40 : 332.35 = 198.41 : x
  2. Step 2: Convert to fraction form
    221.40/332.35 = 198.41/x
  3. Step 3: Cross multiply
    221.40x = 332.35 × 198.41
  4. Step 4: Simplify right side
    221.40x = 65,939.41
  5. Step 5: Solve for x
    x = 65,939.41/221.40
  6. Step 6: Final answer
    x = 297.83

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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.