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Finding the Fourth Proportional to 235.46, 353.10 and 198.90

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Solution

The fourth proportional to 235.46, 353.10 and 198.90 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 353.10 = 198.90 : x
  2. Step 2: Convert to fraction form
    235.46/353.10 = 198.90/x
  3. Step 3: Cross multiply
    235.46x = 353.10 × 198.90
  4. Step 4: Simplify right side
    235.46x = 70,231.59
  5. Step 5: Solve for x
    x = 70,231.59/235.46
  6. Step 6: Final answer
    x = 298.27

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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.