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Finding the Fourth Proportional to 172.71, 260.43 and 169.47

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Solution

The fourth proportional to 172.71, 260.43 and 169.47 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 260.43 = 169.47 : x
  2. Step 2: Convert to fraction form
    172.71/260.43 = 169.47/x
  3. Step 3: Cross multiply
    172.71x = 260.43 × 169.47
  4. Step 4: Simplify right side
    172.71x = 44,135.07
  5. Step 5: Solve for x
    x = 44,135.07/172.71
  6. Step 6: Final answer
    x = 255.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.