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Finding the Fourth Proportional to 181.70, 250.34 and 170.36

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Solution

The fourth proportional to 181.70, 250.34 and 170.36 is: 234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 250.34 = 170.36 : x
  2. Step 2: Convert to fraction form
    181.70/250.34 = 170.36/x
  3. Step 3: Cross multiply
    181.70x = 250.34 × 170.36
  4. Step 4: Simplify right side
    181.70x = 42,645.82
  5. Step 5: Solve for x
    x = 42,645.82/181.70
  6. Step 6: Final answer
    x = 234.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.