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Finding the Fourth Proportional to 192.41, 264.83 and 169.16

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Solution

The fourth proportional to 192.41, 264.83 and 169.16 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 264.83 = 169.16 : x
  2. Step 2: Convert to fraction form
    192.41/264.83 = 169.16/x
  3. Step 3: Cross multiply
    192.41x = 264.83 × 169.16
  4. Step 4: Simplify right side
    192.41x = 44,796.47
  5. Step 5: Solve for x
    x = 44,796.47/192.41
  6. Step 6: Final answer
    x = 232.82

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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.