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Finding the Fourth Proportional to 197.64, 272.83 and 123.02

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Solution

The fourth proportional to 197.64, 272.83 and 123.02 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 272.83 = 123.02 : x
  2. Step 2: Convert to fraction form
    197.64/272.83 = 123.02/x
  3. Step 3: Cross multiply
    197.64x = 272.83 × 123.02
  4. Step 4: Simplify right side
    197.64x = 33,563.55
  5. Step 5: Solve for x
    x = 33,563.55/197.64
  6. Step 6: Final answer
    x = 169.82

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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.