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Finding the Fourth Proportional to 198.54, 297.80 and 147.78

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Solution

The fourth proportional to 198.54, 297.80 and 147.78 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 297.80 = 147.78 : x
  2. Step 2: Convert to fraction form
    198.54/297.80 = 147.78/x
  3. Step 3: Cross multiply
    198.54x = 297.80 × 147.78
  4. Step 4: Simplify right side
    198.54x = 44,008.88
  5. Step 5: Solve for x
    x = 44,008.88/198.54
  6. Step 6: Final answer
    x = 221.66

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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.