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Finding the Fourth Proportional to 197.49, 294.56 and 171.61

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Solution

The fourth proportional to 197.49, 294.56 and 171.61 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 294.56 = 171.61 : x
  2. Step 2: Convert to fraction form
    197.49/294.56 = 171.61/x
  3. Step 3: Cross multiply
    197.49x = 294.56 × 171.61
  4. Step 4: Simplify right side
    197.49x = 50,547.97
  5. Step 5: Solve for x
    x = 50,547.97/197.49
  6. Step 6: Final answer
    x = 255.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.