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Finding the Fourth Proportional to 197.74, 272.64 and 164.98

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Solution

The fourth proportional to 197.74, 272.64 and 164.98 is: 227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 272.64 = 164.98 : x
  2. Step 2: Convert to fraction form
    197.74/272.64 = 164.98/x
  3. Step 3: Cross multiply
    197.74x = 272.64 × 164.98
  4. Step 4: Simplify right side
    197.74x = 44,980.15
  5. Step 5: Solve for x
    x = 44,980.15/197.74
  6. Step 6: Final answer
    x = 227.47

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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.