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Finding the Fourth Proportional to 173.60, 260.25 and 92.49

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Solution

The fourth proportional to 173.60, 260.25 and 92.49 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 260.25 = 92.49 : x
  2. Step 2: Convert to fraction form
    173.60/260.25 = 92.49/x
  3. Step 3: Cross multiply
    173.60x = 260.25 × 92.49
  4. Step 4: Simplify right side
    173.60x = 24,070.52
  5. Step 5: Solve for x
    x = 24,070.52/173.60
  6. Step 6: Final answer
    x = 138.66

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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.