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Finding the Fourth Proportional to 192.26, 265.24 and 150.82

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Solution

The fourth proportional to 192.26, 265.24 and 150.82 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 265.24 = 150.82 : x
  2. Step 2: Convert to fraction form
    192.26/265.24 = 150.82/x
  3. Step 3: Cross multiply
    192.26x = 265.24 × 150.82
  4. Step 4: Simplify right side
    192.26x = 40,003.50
  5. Step 5: Solve for x
    x = 40,003.50/192.26
  6. Step 6: Final answer
    x = 208.07

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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.