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Finding the Fourth Proportional to 182.18, 273.06 and 85.79

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Solution

The fourth proportional to 182.18, 273.06 and 85.79 is: 128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 273.06 = 85.79 : x
  2. Step 2: Convert to fraction form
    182.18/273.06 = 85.79/x
  3. Step 3: Cross multiply
    182.18x = 273.06 × 85.79
  4. Step 4: Simplify right side
    182.18x = 23,426.50
  5. Step 5: Solve for x
    x = 23,426.50/182.18
  6. Step 6: Final answer
    x = 128.59

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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.