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Finding the Fourth Proportional to 193.96, 267.77 and 132.12

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Solution

The fourth proportional to 193.96, 267.77 and 132.12 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 267.77 = 132.12 : x
  2. Step 2: Convert to fraction form
    193.96/267.77 = 132.12/x
  3. Step 3: Cross multiply
    193.96x = 267.77 × 132.12
  4. Step 4: Simplify right side
    193.96x = 35,377.77
  5. Step 5: Solve for x
    x = 35,377.77/193.96
  6. Step 6: Final answer
    x = 182.40

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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.