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Finding the Fourth Proportional to 194.46, 292.19 and 182.15

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Solution

The fourth proportional to 194.46, 292.19 and 182.15 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.46 : 292.19 = 182.15 : x
  2. Step 2: Convert to fraction form
    194.46/292.19 = 182.15/x
  3. Step 3: Cross multiply
    194.46x = 292.19 × 182.15
  4. Step 4: Simplify right side
    194.46x = 53,222.41
  5. Step 5: Solve for x
    x = 53,222.41/194.46
  6. Step 6: Final answer
    x = 273.69

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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.