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Finding the Fourth Proportional to 181.78, 271.36 and 169.14

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Solution

The fourth proportional to 181.78, 271.36 and 169.14 is: 252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 271.36 = 169.14 : x
  2. Step 2: Convert to fraction form
    181.78/271.36 = 169.14/x
  3. Step 3: Cross multiply
    181.78x = 271.36 × 169.14
  4. Step 4: Simplify right side
    181.78x = 45,897.83
  5. Step 5: Solve for x
    x = 45,897.83/181.78
  6. Step 6: Final answer
    x = 252.49

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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.