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Finding the Fourth Proportional to 197.35, 272.31 and 123.69

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Solution

The fourth proportional to 197.35, 272.31 and 123.69 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 272.31 = 123.69 : x
  2. Step 2: Convert to fraction form
    197.35/272.31 = 123.69/x
  3. Step 3: Cross multiply
    197.35x = 272.31 × 123.69
  4. Step 4: Simplify right side
    197.35x = 33,682.02
  5. Step 5: Solve for x
    x = 33,682.02/197.35
  6. Step 6: Final answer
    x = 170.67

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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.