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Finding the Fourth Proportional to 193.82, 267.22 and 141.32

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Solution

The fourth proportional to 193.82, 267.22 and 141.32 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 267.22 = 141.32 : x
  2. Step 2: Convert to fraction form
    193.82/267.22 = 141.32/x
  3. Step 3: Cross multiply
    193.82x = 267.22 × 141.32
  4. Step 4: Simplify right side
    193.82x = 37,763.53
  5. Step 5: Solve for x
    x = 37,763.53/193.82
  6. Step 6: Final answer
    x = 194.84

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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.