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Finding the Fourth Proportional to 198.95, 297.59 and 137.88

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Solution

The fourth proportional to 198.95, 297.59 and 137.88 is: 206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 297.59 = 137.88 : x
  2. Step 2: Convert to fraction form
    198.95/297.59 = 137.88/x
  3. Step 3: Cross multiply
    198.95x = 297.59 × 137.88
  4. Step 4: Simplify right side
    198.95x = 41,031.02
  5. Step 5: Solve for x
    x = 41,031.02/198.95
  6. Step 6: Final answer
    x = 206.24

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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.