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Finding the Fourth Proportional to 171.50, 255.47 and 163.74

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Solution

The fourth proportional to 171.50, 255.47 and 163.74 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 255.47 = 163.74 : x
  2. Step 2: Convert to fraction form
    171.50/255.47 = 163.74/x
  3. Step 3: Cross multiply
    171.50x = 255.47 × 163.74
  4. Step 4: Simplify right side
    171.50x = 41,829.84
  5. Step 5: Solve for x
    x = 41,829.84/171.50
  6. Step 6: Final answer
    x = 243.91

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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.