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Finding the Fourth Proportional to 173.26, 260.02 and 92.12

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Solution

The fourth proportional to 173.26, 260.02 and 92.12 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 260.02 = 92.12 : x
  2. Step 2: Convert to fraction form
    173.26/260.02 = 92.12/x
  3. Step 3: Cross multiply
    173.26x = 260.02 × 92.12
  4. Step 4: Simplify right side
    173.26x = 23,953.04
  5. Step 5: Solve for x
    x = 23,953.04/173.26
  6. Step 6: Final answer
    x = 138.25

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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.