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Finding the Fourth Proportional to 197.02, 272.02 and 144.47

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Solution

The fourth proportional to 197.02, 272.02 and 144.47 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 272.02 = 144.47 : x
  2. Step 2: Convert to fraction form
    197.02/272.02 = 144.47/x
  3. Step 3: Cross multiply
    197.02x = 272.02 × 144.47
  4. Step 4: Simplify right side
    197.02x = 39,298.73
  5. Step 5: Solve for x
    x = 39,298.73/197.02
  6. Step 6: Final answer
    x = 199.47

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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.