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Finding the Fourth Proportional to 193.32, 265.19 and 182.85

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Solution

The fourth proportional to 193.32, 265.19 and 182.85 is: 250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 265.19 = 182.85 : x
  2. Step 2: Convert to fraction form
    193.32/265.19 = 182.85/x
  3. Step 3: Cross multiply
    193.32x = 265.19 × 182.85
  4. Step 4: Simplify right side
    193.32x = 48,489.08
  5. Step 5: Solve for x
    x = 48,489.08/193.32
  6. Step 6: Final answer
    x = 250.83

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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.