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Finding the Fourth Proportional to 192.83, 265.97 and 114.12

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Solution

The fourth proportional to 192.83, 265.97 and 114.12 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 265.97 = 114.12 : x
  2. Step 2: Convert to fraction form
    192.83/265.97 = 114.12/x
  3. Step 3: Cross multiply
    192.83x = 265.97 × 114.12
  4. Step 4: Simplify right side
    192.83x = 30,351.93
  5. Step 5: Solve for x
    x = 30,351.93/192.83
  6. Step 6: Final answer
    x = 157.41

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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.