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Finding the Fourth Proportional to 173.96, 262.32 and 170.72

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Solution

The fourth proportional to 173.96, 262.32 and 170.72 is: 257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 262.32 = 170.72 : x
  2. Step 2: Convert to fraction form
    173.96/262.32 = 170.72/x
  3. Step 3: Cross multiply
    173.96x = 262.32 × 170.72
  4. Step 4: Simplify right side
    173.96x = 44,783.27
  5. Step 5: Solve for x
    x = 44,783.27/173.96
  6. Step 6: Final answer
    x = 257.43

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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.