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Finding the Fourth Proportional to 311.76, 468.20 and 198.48

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Solution

The fourth proportional to 311.76, 468.20 and 198.48 is: 298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 468.20 = 198.48 : x
  2. Step 2: Convert to fraction form
    311.76/468.20 = 198.48/x
  3. Step 3: Cross multiply
    311.76x = 468.20 × 198.48
  4. Step 4: Simplify right side
    311.76x = 92,928.34
  5. Step 5: Solve for x
    x = 92,928.34/311.76
  6. Step 6: Final answer
    x = 298.08

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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.