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Finding the Fourth Proportional to 197.69, 272.61 and 132.21

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Solution

The fourth proportional to 197.69, 272.61 and 132.21 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 272.61 = 132.21 : x
  2. Step 2: Convert to fraction form
    197.69/272.61 = 132.21/x
  3. Step 3: Cross multiply
    197.69x = 272.61 × 132.21
  4. Step 4: Simplify right side
    197.69x = 36,041.77
  5. Step 5: Solve for x
    x = 36,041.77/197.69
  6. Step 6: Final answer
    x = 182.32

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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.