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Finding the Fourth Proportional to 172.26, 256.77 and 167.40

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Solution

The fourth proportional to 172.26, 256.77 and 167.40 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 256.77 = 167.40 : x
  2. Step 2: Convert to fraction form
    172.26/256.77 = 167.40/x
  3. Step 3: Cross multiply
    172.26x = 256.77 × 167.40
  4. Step 4: Simplify right side
    172.26x = 42,983.30
  5. Step 5: Solve for x
    x = 42,983.30/172.26
  6. Step 6: Final answer
    x = 249.53

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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.