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Finding the Fourth Proportional to 354.20, 488.78 and 198.95

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Solution

The fourth proportional to 354.20, 488.78 and 198.95 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.20 : 488.78 = 198.95 : x
  2. Step 2: Convert to fraction form
    354.20/488.78 = 198.95/x
  3. Step 3: Cross multiply
    354.20x = 488.78 × 198.95
  4. Step 4: Simplify right side
    354.20x = 97,239.34
  5. Step 5: Solve for x
    x = 97,239.34/354.20
  6. Step 6: Final answer
    x = 274.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.