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Finding the Fourth Proportional to 181.15, 271.26 and 126.47

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Solution

The fourth proportional to 181.15, 271.26 and 126.47 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.15 : 271.26 = 126.47 : x
  2. Step 2: Convert to fraction form
    181.15/271.26 = 126.47/x
  3. Step 3: Cross multiply
    181.15x = 271.26 × 126.47
  4. Step 4: Simplify right side
    181.15x = 34,306.93
  5. Step 5: Solve for x
    x = 34,306.93/181.15
  6. Step 6: Final answer
    x = 189.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.