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Finding the Fourth Proportional to 197.45, 295.85 and 189.95

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Solution

The fourth proportional to 197.45, 295.85 and 189.95 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.45 : 295.85 = 189.95 : x
  2. Step 2: Convert to fraction form
    197.45/295.85 = 189.95/x
  3. Step 3: Cross multiply
    197.45x = 295.85 × 189.95
  4. Step 4: Simplify right side
    197.45x = 56,196.71
  5. Step 5: Solve for x
    x = 56,196.71/197.45
  6. Step 6: Final answer
    x = 284.61

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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.