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Finding the Fourth Proportional to 197.75, 272.40 and 148.57

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Solution

The fourth proportional to 197.75, 272.40 and 148.57 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 272.40 = 148.57 : x
  2. Step 2: Convert to fraction form
    197.75/272.40 = 148.57/x
  3. Step 3: Cross multiply
    197.75x = 272.40 × 148.57
  4. Step 4: Simplify right side
    197.75x = 40,470.47
  5. Step 5: Solve for x
    x = 40,470.47/197.75
  6. Step 6: Final answer
    x = 204.65

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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.