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Finding the Fourth Proportional to 197.80, 295.24 and 173.50

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Solution

The fourth proportional to 197.80, 295.24 and 173.50 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 295.24 = 173.50 : x
  2. Step 2: Convert to fraction form
    197.80/295.24 = 173.50/x
  3. Step 3: Cross multiply
    197.80x = 295.24 × 173.50
  4. Step 4: Simplify right side
    197.80x = 51,224.14
  5. Step 5: Solve for x
    x = 51,224.14/197.80
  6. Step 6: Final answer
    x = 258.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.