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Finding the Fourth Proportional to 182.42, 273.70 and 66.95

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Solution

The fourth proportional to 182.42, 273.70 and 66.95 is: 100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.42 : 273.70 = 66.95 : x
  2. Step 2: Convert to fraction form
    182.42/273.70 = 66.95/x
  3. Step 3: Cross multiply
    182.42x = 273.70 × 66.95
  4. Step 4: Simplify right side
    182.42x = 18,324.22
  5. Step 5: Solve for x
    x = 18,324.22/182.42
  6. Step 6: Final answer
    x = 100.45

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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.