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Finding the Fourth Proportional to 192.67, 264.13 and 189.82

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Solution

The fourth proportional to 192.67, 264.13 and 189.82 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.67 : 264.13 = 189.82 : x
  2. Step 2: Convert to fraction form
    192.67/264.13 = 189.82/x
  3. Step 3: Cross multiply
    192.67x = 264.13 × 189.82
  4. Step 4: Simplify right side
    192.67x = 50,137.16
  5. Step 5: Solve for x
    x = 50,137.16/192.67
  6. Step 6: Final answer
    x = 260.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.