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Finding the Fourth Proportional to 306.75, 460.02 and 198.41

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Solution

The fourth proportional to 306.75, 460.02 and 198.41 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 460.02 = 198.41 : x
  2. Step 2: Convert to fraction form
    306.75/460.02 = 198.41/x
  3. Step 3: Cross multiply
    306.75x = 460.02 × 198.41
  4. Step 4: Simplify right side
    306.75x = 91,272.57
  5. Step 5: Solve for x
    x = 91,272.57/306.75
  6. Step 6: Final answer
    x = 297.55

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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.