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Finding the Fourth Proportional to 173.96, 258.81 and 163.72

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Solution

The fourth proportional to 173.96, 258.81 and 163.72 is: 243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 258.81 = 163.72 : x
  2. Step 2: Convert to fraction form
    173.96/258.81 = 163.72/x
  3. Step 3: Cross multiply
    173.96x = 258.81 × 163.72
  4. Step 4: Simplify right side
    173.96x = 42,372.37
  5. Step 5: Solve for x
    x = 42,372.37/173.96
  6. Step 6: Final answer
    x = 243.58

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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.