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Finding the Fourth Proportional to 182.34, 272.21 and 151.97

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Solution

The fourth proportional to 182.34, 272.21 and 151.97 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 272.21 = 151.97 : x
  2. Step 2: Convert to fraction form
    182.34/272.21 = 151.97/x
  3. Step 3: Cross multiply
    182.34x = 272.21 × 151.97
  4. Step 4: Simplify right side
    182.34x = 41,365.63
  5. Step 5: Solve for x
    x = 41,365.63/182.34
  6. Step 6: Final answer
    x = 226.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.