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Finding the Fourth Proportional to 197.02, 272.10 and 179.68

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Solution

The fourth proportional to 197.02, 272.10 and 179.68 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 272.10 = 179.68 : x
  2. Step 2: Convert to fraction form
    197.02/272.10 = 179.68/x
  3. Step 3: Cross multiply
    197.02x = 272.10 × 179.68
  4. Step 4: Simplify right side
    197.02x = 48,890.93
  5. Step 5: Solve for x
    x = 48,890.93/197.02
  6. Step 6: Final answer
    x = 248.15

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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.