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Finding the Fourth Proportional to 197.68, 272.36 and 132.07

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Solution

The fourth proportional to 197.68, 272.36 and 132.07 is: 181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 272.36 = 132.07 : x
  2. Step 2: Convert to fraction form
    197.68/272.36 = 132.07/x
  3. Step 3: Cross multiply
    197.68x = 272.36 × 132.07
  4. Step 4: Simplify right side
    197.68x = 35,969.22
  5. Step 5: Solve for x
    x = 35,969.22/197.68
  6. Step 6: Final answer
    x = 181.96

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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.