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Finding the Fourth Proportional to 193.10, 265.47 and 163.82

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Solution

The fourth proportional to 193.10, 265.47 and 163.82 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 265.47 = 163.82 : x
  2. Step 2: Convert to fraction form
    193.10/265.47 = 163.82/x
  3. Step 3: Cross multiply
    193.10x = 265.47 × 163.82
  4. Step 4: Simplify right side
    193.10x = 43,488.58
  5. Step 5: Solve for x
    x = 43,488.58/193.10
  6. Step 6: Final answer
    x = 225.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.