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Finding the Fourth Proportional to 197.33, 272.51 and 180.92

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Solution

The fourth proportional to 197.33, 272.51 and 180.92 is: 249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.33 : 272.51 = 180.92 : x
  2. Step 2: Convert to fraction form
    197.33/272.51 = 180.92/x
  3. Step 3: Cross multiply
    197.33x = 272.51 × 180.92
  4. Step 4: Simplify right side
    197.33x = 49,300.24
  5. Step 5: Solve for x
    x = 49,300.24/197.33
  6. Step 6: Final answer
    x = 249.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.