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Finding the Fourth Proportional to 182.71, 273.79 and 94.66

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Solution

The fourth proportional to 182.71, 273.79 and 94.66 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.71 : 273.79 = 94.66 : x
  2. Step 2: Convert to fraction form
    182.71/273.79 = 94.66/x
  3. Step 3: Cross multiply
    182.71x = 273.79 × 94.66
  4. Step 4: Simplify right side
    182.71x = 25,915.86
  5. Step 5: Solve for x
    x = 25,915.86/182.71
  6. Step 6: Final answer
    x = 141.84

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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.