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Finding the Fourth Proportional to 172.73, 256.95 and 170.99

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Solution

The fourth proportional to 172.73, 256.95 and 170.99 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.73 : 256.95 = 170.99 : x
  2. Step 2: Convert to fraction form
    172.73/256.95 = 170.99/x
  3. Step 3: Cross multiply
    172.73x = 256.95 × 170.99
  4. Step 4: Simplify right side
    172.73x = 43,936.31
  5. Step 5: Solve for x
    x = 43,936.31/172.73
  6. Step 6: Final answer
    x = 254.36

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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.