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Finding the Fourth Proportional to 193.41, 268.13 and 183.52

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Solution

The fourth proportional to 193.41, 268.13 and 183.52 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 268.13 = 183.52 : x
  2. Step 2: Convert to fraction form
    193.41/268.13 = 183.52/x
  3. Step 3: Cross multiply
    193.41x = 268.13 × 183.52
  4. Step 4: Simplify right side
    193.41x = 49,207.22
  5. Step 5: Solve for x
    x = 49,207.22/193.41
  6. Step 6: Final answer
    x = 254.42

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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.