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Finding the Fourth Proportional to 192.05, 265.02 and 109.16

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Solution

The fourth proportional to 192.05, 265.02 and 109.16 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 265.02 = 109.16 : x
  2. Step 2: Convert to fraction form
    192.05/265.02 = 109.16/x
  3. Step 3: Cross multiply
    192.05x = 265.02 × 109.16
  4. Step 4: Simplify right side
    192.05x = 28,930.57
  5. Step 5: Solve for x
    x = 28,930.57/192.05
  6. Step 6: Final answer
    x = 150.64

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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.