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Finding the Fourth Proportional to 193.08, 267.69 and 185.52

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Solution

The fourth proportional to 193.08, 267.69 and 185.52 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 267.69 = 185.52 : x
  2. Step 2: Convert to fraction form
    193.08/267.69 = 185.52/x
  3. Step 3: Cross multiply
    193.08x = 267.69 × 185.52
  4. Step 4: Simplify right side
    193.08x = 49,661.85
  5. Step 5: Solve for x
    x = 49,661.85/193.08
  6. Step 6: Final answer
    x = 257.21

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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.