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Finding the Fourth Proportional to 173.51, 262.44 and 172.31

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Solution

The fourth proportional to 173.51, 262.44 and 172.31 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.51 : 262.44 = 172.31 : x
  2. Step 2: Convert to fraction form
    173.51/262.44 = 172.31/x
  3. Step 3: Cross multiply
    173.51x = 262.44 × 172.31
  4. Step 4: Simplify right side
    173.51x = 45,221.48
  5. Step 5: Solve for x
    x = 45,221.48/173.51
  6. Step 6: Final answer
    x = 260.63

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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.