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Finding the Fourth Proportional to 197.94, 272.98 and 139.98

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Solution

The fourth proportional to 197.94, 272.98 and 139.98 is: 193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 272.98 = 139.98 : x
  2. Step 2: Convert to fraction form
    197.94/272.98 = 139.98/x
  3. Step 3: Cross multiply
    197.94x = 272.98 × 139.98
  4. Step 4: Simplify right side
    197.94x = 38,211.74
  5. Step 5: Solve for x
    x = 38,211.74/197.94
  6. Step 6: Final answer
    x = 193.05

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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.