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Finding the Fourth Proportional to 312.93, 431.82 and 181.91

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Solution

The fourth proportional to 312.93, 431.82 and 181.91 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 431.82 = 181.91 : x
  2. Step 2: Convert to fraction form
    312.93/431.82 = 181.91/x
  3. Step 3: Cross multiply
    312.93x = 431.82 × 181.91
  4. Step 4: Simplify right side
    312.93x = 78,553.46
  5. Step 5: Solve for x
    x = 78,553.46/312.93
  6. Step 6: Final answer
    x = 251.03

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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.