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Finding the Fourth Proportional to 312.81, 431.73 and 181.91

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Solution

The fourth proportional to 312.81, 431.73 and 181.91 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 431.73 = 181.91 : x
  2. Step 2: Convert to fraction form
    312.81/431.73 = 181.91/x
  3. Step 3: Cross multiply
    312.81x = 431.73 × 181.91
  4. Step 4: Simplify right side
    312.81x = 78,533.85
  5. Step 5: Solve for x
    x = 78,533.85/312.81
  6. Step 6: Final answer
    x = 251.06

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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.