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Finding the Fourth Proportional to 182.18, 271.82 and 151.94

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Solution

The fourth proportional to 182.18, 271.82 and 151.94 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 271.82 = 151.94 : x
  2. Step 2: Convert to fraction form
    182.18/271.82 = 151.94/x
  3. Step 3: Cross multiply
    182.18x = 271.82 × 151.94
  4. Step 4: Simplify right side
    182.18x = 41,300.33
  5. Step 5: Solve for x
    x = 41,300.33/182.18
  6. Step 6: Final answer
    x = 226.70

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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.