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Finding the Fourth Proportional to 197.55, 272.72 and 188.74

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Solution

The fourth proportional to 197.55, 272.72 and 188.74 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.55 : 272.72 = 188.74 : x
  2. Step 2: Convert to fraction form
    197.55/272.72 = 188.74/x
  3. Step 3: Cross multiply
    197.55x = 272.72 × 188.74
  4. Step 4: Simplify right side
    197.55x = 51,473.99
  5. Step 5: Solve for x
    x = 51,473.99/197.55
  6. Step 6: Final answer
    x = 260.56

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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.