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Finding the Fourth Proportional to 192.41, 265.48 and 109.49

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Solution

The fourth proportional to 192.41, 265.48 and 109.49 is: 151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 265.48 = 109.49 : x
  2. Step 2: Convert to fraction form
    192.41/265.48 = 109.49/x
  3. Step 3: Cross multiply
    192.41x = 265.48 × 109.49
  4. Step 4: Simplify right side
    192.41x = 29,065.80
  5. Step 5: Solve for x
    x = 29,065.80/192.41
  6. Step 6: Final answer
    x = 151.06

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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.