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Finding the Fourth Proportional to 192.09, 265.10 and 109.23

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Solution

The fourth proportional to 192.09, 265.10 and 109.23 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 265.10 = 109.23 : x
  2. Step 2: Convert to fraction form
    192.09/265.10 = 109.23/x
  3. Step 3: Cross multiply
    192.09x = 265.10 × 109.23
  4. Step 4: Simplify right side
    192.09x = 28,956.87
  5. Step 5: Solve for x
    x = 28,956.87/192.09
  6. Step 6: Final answer
    x = 150.75

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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.