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Finding the Fourth Proportional to 171.72, 255.74 and 169.90

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Solution

The fourth proportional to 171.72, 255.74 and 169.90 is: 253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 255.74 = 169.90 : x
  2. Step 2: Convert to fraction form
    171.72/255.74 = 169.90/x
  3. Step 3: Cross multiply
    171.72x = 255.74 × 169.90
  4. Step 4: Simplify right side
    171.72x = 43,450.23
  5. Step 5: Solve for x
    x = 43,450.23/171.72
  6. Step 6: Final answer
    x = 253.03

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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.