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Finding the Fourth Proportional to 197.88, 296.73 and 167.05

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Solution

The fourth proportional to 197.88, 296.73 and 167.05 is: 250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 296.73 = 167.05 : x
  2. Step 2: Convert to fraction form
    197.88/296.73 = 167.05/x
  3. Step 3: Cross multiply
    197.88x = 296.73 × 167.05
  4. Step 4: Simplify right side
    197.88x = 49,567.26
  5. Step 5: Solve for x
    x = 49,567.26/197.88
  6. Step 6: Final answer
    x = 250.49

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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.