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Finding the Fourth Proportional to 173.69, 259.54 and 132.33

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Solution

The fourth proportional to 173.69, 259.54 and 132.33 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.69 : 259.54 = 132.33 : x
  2. Step 2: Convert to fraction form
    173.69/259.54 = 132.33/x
  3. Step 3: Cross multiply
    173.69x = 259.54 × 132.33
  4. Step 4: Simplify right side
    173.69x = 34,344.93
  5. Step 5: Solve for x
    x = 34,344.93/173.69
  6. Step 6: Final answer
    x = 197.74

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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.