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Finding the Fourth Proportional to 192.01, 264.97 and 109.12

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Solution

The fourth proportional to 192.01, 264.97 and 109.12 is: 150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.01 : 264.97 = 109.12 : x
  2. Step 2: Convert to fraction form
    192.01/264.97 = 109.12/x
  3. Step 3: Cross multiply
    192.01x = 264.97 × 109.12
  4. Step 4: Simplify right side
    192.01x = 28,912.20
  5. Step 5: Solve for x
    x = 28,912.20/192.01
  6. Step 6: Final answer
    x = 150.58

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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.