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Finding the Fourth Proportional to 192.26, 264.69 and 143.06

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Solution

The fourth proportional to 192.26, 264.69 and 143.06 is: 196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 264.69 = 143.06 : x
  2. Step 2: Convert to fraction form
    192.26/264.69 = 143.06/x
  3. Step 3: Cross multiply
    192.26x = 264.69 × 143.06
  4. Step 4: Simplify right side
    192.26x = 37,866.55
  5. Step 5: Solve for x
    x = 37,866.55/192.26
  6. Step 6: Final answer
    x = 196.95

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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.