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Finding the Fourth Proportional to 181.17, 271.44 and 126.96

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Solution

The fourth proportional to 181.17, 271.44 and 126.96 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.17 : 271.44 = 126.96 : x
  2. Step 2: Convert to fraction form
    181.17/271.44 = 126.96/x
  3. Step 3: Cross multiply
    181.17x = 271.44 × 126.96
  4. Step 4: Simplify right side
    181.17x = 34,462.02
  5. Step 5: Solve for x
    x = 34,462.02/181.17
  6. Step 6: Final answer
    x = 190.22

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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.