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Finding the Fourth Proportional to 173.82, 260.46 and 92.64

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Solution

The fourth proportional to 173.82, 260.46 and 92.64 is: 138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 260.46 = 92.64 : x
  2. Step 2: Convert to fraction form
    173.82/260.46 = 92.64/x
  3. Step 3: Cross multiply
    173.82x = 260.46 × 92.64
  4. Step 4: Simplify right side
    173.82x = 24,129.01
  5. Step 5: Solve for x
    x = 24,129.01/173.82
  6. Step 6: Final answer
    x = 138.82

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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.