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Finding the Fourth Proportional to 192.78, 265.95 and 161.60

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Solution

The fourth proportional to 192.78, 265.95 and 161.60 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 265.95 = 161.60 : x
  2. Step 2: Convert to fraction form
    192.78/265.95 = 161.60/x
  3. Step 3: Cross multiply
    192.78x = 265.95 × 161.60
  4. Step 4: Simplify right side
    192.78x = 42,976.19
  5. Step 5: Solve for x
    x = 42,976.19/192.78
  6. Step 6: Final answer
    x = 222.93

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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.