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Finding the Fourth Proportional to 192.03, 264.44 and 142.82

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Solution

The fourth proportional to 192.03, 264.44 and 142.82 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.03 : 264.44 = 142.82 : x
  2. Step 2: Convert to fraction form
    192.03/264.44 = 142.82/x
  3. Step 3: Cross multiply
    192.03x = 264.44 × 142.82
  4. Step 4: Simplify right side
    192.03x = 37,766.61
  5. Step 5: Solve for x
    x = 37,766.61/192.03
  6. Step 6: Final answer
    x = 196.67

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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.