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Finding the Fourth Proportional to 194.96, 292.56 and 182.32

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Solution

The fourth proportional to 194.96, 292.56 and 182.32 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 292.56 = 182.32 : x
  2. Step 2: Convert to fraction form
    194.96/292.56 = 182.32/x
  3. Step 3: Cross multiply
    194.96x = 292.56 × 182.32
  4. Step 4: Simplify right side
    194.96x = 53,339.54
  5. Step 5: Solve for x
    x = 53,339.54/194.96
  6. Step 6: Final answer
    x = 273.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.