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Finding the Fourth Proportional to 173.70, 259.02 and 163.98

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Solution

The fourth proportional to 173.70, 259.02 and 163.98 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.70 : 259.02 = 163.98 : x
  2. Step 2: Convert to fraction form
    173.70/259.02 = 163.98/x
  3. Step 3: Cross multiply
    173.70x = 259.02 × 163.98
  4. Step 4: Simplify right side
    173.70x = 42,474.10
  5. Step 5: Solve for x
    x = 42,474.10/173.70
  6. Step 6: Final answer
    x = 244.53

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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.