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Finding the Fourth Proportional to 193.69, 265.66 and 183.24

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Solution

The fourth proportional to 193.69, 265.66 and 183.24 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 265.66 = 183.24 : x
  2. Step 2: Convert to fraction form
    193.69/265.66 = 183.24/x
  3. Step 3: Cross multiply
    193.69x = 265.66 × 183.24
  4. Step 4: Simplify right side
    193.69x = 48,679.54
  5. Step 5: Solve for x
    x = 48,679.54/193.69
  6. Step 6: Final answer
    x = 251.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.