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Finding the Fourth Proportional to 197.24, 272.15 and 119.60

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Solution

The fourth proportional to 197.24, 272.15 and 119.60 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 272.15 = 119.60 : x
  2. Step 2: Convert to fraction form
    197.24/272.15 = 119.60/x
  3. Step 3: Cross multiply
    197.24x = 272.15 × 119.60
  4. Step 4: Simplify right side
    197.24x = 32,549.14
  5. Step 5: Solve for x
    x = 32,549.14/197.24
  6. Step 6: Final answer
    x = 165.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.