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Finding the Fourth Proportional to 197.42, 272.28 and 131.98

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Solution

The fourth proportional to 197.42, 272.28 and 131.98 is: 182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 272.28 = 131.98 : x
  2. Step 2: Convert to fraction form
    197.42/272.28 = 131.98/x
  3. Step 3: Cross multiply
    197.42x = 272.28 × 131.98
  4. Step 4: Simplify right side
    197.42x = 35,935.51
  5. Step 5: Solve for x
    x = 35,935.51/197.42
  6. Step 6: Final answer
    x = 182.03

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