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Finding the Fourth Proportional to 197.52, 295.77 and 106.05

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Solution

The fourth proportional to 197.52, 295.77 and 106.05 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 295.77 = 106.05 : x
  2. Step 2: Convert to fraction form
    197.52/295.77 = 106.05/x
  3. Step 3: Cross multiply
    197.52x = 295.77 × 106.05
  4. Step 4: Simplify right side
    197.52x = 31,366.41
  5. Step 5: Solve for x
    x = 31,366.41/197.52
  6. Step 6: Final answer
    x = 158.80

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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.