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Finding the Fourth Proportional to 197.82, 272.70 and 123.93

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Solution

The fourth proportional to 197.82, 272.70 and 123.93 is: 170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 272.70 = 123.93 : x
  2. Step 2: Convert to fraction form
    197.82/272.70 = 123.93/x
  3. Step 3: Cross multiply
    197.82x = 272.70 × 123.93
  4. Step 4: Simplify right side
    197.82x = 33,795.71
  5. Step 5: Solve for x
    x = 33,795.71/197.82
  6. Step 6: Final answer
    x = 170.84

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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.