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Finding the Fourth Proportional to 192.69, 265.84 and 118.96

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Solution

The fourth proportional to 192.69, 265.84 and 118.96 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 265.84 = 118.96 : x
  2. Step 2: Convert to fraction form
    192.69/265.84 = 118.96/x
  3. Step 3: Cross multiply
    192.69x = 265.84 × 118.96
  4. Step 4: Simplify right side
    192.69x = 31,623.36
  5. Step 5: Solve for x
    x = 31,623.36/192.69
  6. Step 6: Final answer
    x = 164.12

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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.