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Finding the Fourth Proportional to 197.33, 272.68 and 148.12

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Solution

The fourth proportional to 197.33, 272.68 and 148.12 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.33 : 272.68 = 148.12 : x
  2. Step 2: Convert to fraction form
    197.33/272.68 = 148.12/x
  3. Step 3: Cross multiply
    197.33x = 272.68 × 148.12
  4. Step 4: Simplify right side
    197.33x = 40,389.14
  5. Step 5: Solve for x
    x = 40,389.14/197.33
  6. Step 6: Final answer
    x = 204.68

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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.