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Finding the Fourth Proportional to 192.24, 265.25 and 109.34

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Solution

The fourth proportional to 192.24, 265.25 and 109.34 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 265.25 = 109.34 : x
  2. Step 2: Convert to fraction form
    192.24/265.25 = 109.34/x
  3. Step 3: Cross multiply
    192.24x = 265.25 × 109.34
  4. Step 4: Simplify right side
    192.24x = 29,002.44
  5. Step 5: Solve for x
    x = 29,002.44/192.24
  6. Step 6: Final answer
    x = 150.87

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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.