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Finding the Fourth Proportional to 197.77, 272.92 and 114.88

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Solution

The fourth proportional to 197.77, 272.92 and 114.88 is: 158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.77 : 272.92 = 114.88 : x
  2. Step 2: Convert to fraction form
    197.77/272.92 = 114.88/x
  3. Step 3: Cross multiply
    197.77x = 272.92 × 114.88
  4. Step 4: Simplify right side
    197.77x = 31,352.08
  5. Step 5: Solve for x
    x = 31,352.08/197.77
  6. Step 6: Final answer
    x = 158.53

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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.