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Finding the Fourth Proportional to 192.14, 265.14 and 109.23

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Solution

The fourth proportional to 192.14, 265.14 and 109.23 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.14 : 265.14 = 109.23 : x
  2. Step 2: Convert to fraction form
    192.14/265.14 = 109.23/x
  3. Step 3: Cross multiply
    192.14x = 265.14 × 109.23
  4. Step 4: Simplify right side
    192.14x = 28,961.56
  5. Step 5: Solve for x
    x = 28,961.56/192.14
  6. Step 6: Final answer
    x = 150.74

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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.