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Finding the Fourth Proportional to 173.55, 259.79 and 129.96

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Solution

The fourth proportional to 173.55, 259.79 and 129.96 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 259.79 = 129.96 : x
  2. Step 2: Convert to fraction form
    173.55/259.79 = 129.96/x
  3. Step 3: Cross multiply
    173.55x = 259.79 × 129.96
  4. Step 4: Simplify right side
    173.55x = 33,762.31
  5. Step 5: Solve for x
    x = 33,762.31/173.55
  6. Step 6: Final answer
    x = 194.54

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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.