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Finding the Fourth Proportional to 192.16, 265.19 and 109.27

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Solution

The fourth proportional to 192.16, 265.19 and 109.27 is: 150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 265.19 = 109.27 : x
  2. Step 2: Convert to fraction form
    192.16/265.19 = 109.27/x
  3. Step 3: Cross multiply
    192.16x = 265.19 × 109.27
  4. Step 4: Simplify right side
    192.16x = 28,975.98
  5. Step 5: Solve for x
    x = 28,975.98/192.16
  6. Step 6: Final answer
    x = 150.79

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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.