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Finding the Fourth Proportional to 193.16, 267.92 and 186.60

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Solution

The fourth proportional to 193.16, 267.92 and 186.60 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 267.92 = 186.60 : x
  2. Step 2: Convert to fraction form
    193.16/267.92 = 186.60/x
  3. Step 3: Cross multiply
    193.16x = 267.92 × 186.60
  4. Step 4: Simplify right side
    193.16x = 49,993.87
  5. Step 5: Solve for x
    x = 49,993.87/193.16
  6. Step 6: Final answer
    x = 258.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.