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Finding the Fourth Proportional to 173.50, 259.96 and 115.64

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Solution

The fourth proportional to 173.50, 259.96 and 115.64 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.50 : 259.96 = 115.64 : x
  2. Step 2: Convert to fraction form
    173.50/259.96 = 115.64/x
  3. Step 3: Cross multiply
    173.50x = 259.96 × 115.64
  4. Step 4: Simplify right side
    173.50x = 30,061.77
  5. Step 5: Solve for x
    x = 30,061.77/173.50
  6. Step 6: Final answer
    x = 173.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.