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Finding the Fourth Proportional to 172.32, 256.76 and 169.44

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Solution

The fourth proportional to 172.32, 256.76 and 169.44 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 256.76 = 169.44 : x
  2. Step 2: Convert to fraction form
    172.32/256.76 = 169.44/x
  3. Step 3: Cross multiply
    172.32x = 256.76 × 169.44
  4. Step 4: Simplify right side
    172.32x = 43,505.41
  5. Step 5: Solve for x
    x = 43,505.41/172.32
  6. Step 6: Final answer
    x = 252.47

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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.