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Finding the Fourth Proportional to 192.40, 265.26 and 163.24

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Solution

The fourth proportional to 192.40, 265.26 and 163.24 is: 225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 265.26 = 163.24 : x
  2. Step 2: Convert to fraction form
    192.40/265.26 = 163.24/x
  3. Step 3: Cross multiply
    192.40x = 265.26 × 163.24
  4. Step 4: Simplify right side
    192.40x = 43,301.04
  5. Step 5: Solve for x
    x = 43,301.04/192.40
  6. Step 6: Final answer
    x = 225.06

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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.