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Finding the Fourth Proportional to 181.96, 271.56 and 164.74

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Solution

The fourth proportional to 181.96, 271.56 and 164.74 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 271.56 = 164.74 : x
  2. Step 2: Convert to fraction form
    181.96/271.56 = 164.74/x
  3. Step 3: Cross multiply
    181.96x = 271.56 × 164.74
  4. Step 4: Simplify right side
    181.96x = 44,736.79
  5. Step 5: Solve for x
    x = 44,736.79/181.96
  6. Step 6: Final answer
    x = 245.86

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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.