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Finding the Fourth Proportional to 192.96, 266.34 and 137.61

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Solution

The fourth proportional to 192.96, 266.34 and 137.61 is: 189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 266.34 = 137.61 : x
  2. Step 2: Convert to fraction form
    192.96/266.34 = 137.61/x
  3. Step 3: Cross multiply
    192.96x = 266.34 × 137.61
  4. Step 4: Simplify right side
    192.96x = 36,649.03
  5. Step 5: Solve for x
    x = 36,649.03/192.96
  6. Step 6: Final answer
    x = 189.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.