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Finding the Fourth Proportional to 192.63, 265.76 and 122.63

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Solution

The fourth proportional to 192.63, 265.76 and 122.63 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.63 : 265.76 = 122.63 : x
  2. Step 2: Convert to fraction form
    192.63/265.76 = 122.63/x
  3. Step 3: Cross multiply
    192.63x = 265.76 × 122.63
  4. Step 4: Simplify right side
    192.63x = 32,588.21
  5. Step 5: Solve for x
    x = 32,588.21/192.63
  6. Step 6: Final answer
    x = 169.18

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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.