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Finding the Fourth Proportional to 197.63, 274.13 and 187.25

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Solution

The fourth proportional to 197.63, 274.13 and 187.25 is: 259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.63 : 274.13 = 187.25 : x
  2. Step 2: Convert to fraction form
    197.63/274.13 = 187.25/x
  3. Step 3: Cross multiply
    197.63x = 274.13 × 187.25
  4. Step 4: Simplify right side
    197.63x = 51,329.47
  5. Step 5: Solve for x
    x = 51,329.47/197.63
  6. Step 6: Final answer
    x = 259.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.