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Finding the Fourth Proportional to 192.99, 266.52 and 137.85

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Solution

The fourth proportional to 192.99, 266.52 and 137.85 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.99 : 266.52 = 137.85 : x
  2. Step 2: Convert to fraction form
    192.99/266.52 = 137.85/x
  3. Step 3: Cross multiply
    192.99x = 266.52 × 137.85
  4. Step 4: Simplify right side
    192.99x = 36,739.30
  5. Step 5: Solve for x
    x = 36,739.30/192.99
  6. Step 6: Final answer
    x = 190.37

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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.