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Finding the Fourth Proportional to 172.96, 260.74 and 161.51

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Solution

The fourth proportional to 172.96, 260.74 and 161.51 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 260.74 = 161.51 : x
  2. Step 2: Convert to fraction form
    172.96/260.74 = 161.51/x
  3. Step 3: Cross multiply
    172.96x = 260.74 × 161.51
  4. Step 4: Simplify right side
    172.96x = 42,110.61
  5. Step 5: Solve for x
    x = 42,110.61/172.96
  6. Step 6: Final answer
    x = 243.47

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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.