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Finding the Fourth Proportional to 197.54, 297.39 and 180.80

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Solution

The fourth proportional to 197.54, 297.39 and 180.80 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 297.39 = 180.80 : x
  2. Step 2: Convert to fraction form
    197.54/297.39 = 180.80/x
  3. Step 3: Cross multiply
    197.54x = 297.39 × 180.80
  4. Step 4: Simplify right side
    197.54x = 53,768.11
  5. Step 5: Solve for x
    x = 53,768.11/197.54
  6. Step 6: Final answer
    x = 272.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.