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Finding the Fourth Proportional to 197.15, 272.15 and 123.45

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Solution

The fourth proportional to 197.15, 272.15 and 123.45 is: 170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.15 : 272.15 = 123.45 : x
  2. Step 2: Convert to fraction form
    197.15/272.15 = 123.45/x
  3. Step 3: Cross multiply
    197.15x = 272.15 × 123.45
  4. Step 4: Simplify right side
    197.15x = 33,598.48
  5. Step 5: Solve for x
    x = 33,598.48/197.15
  6. Step 6: Final answer
    x = 170.42

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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.