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Finding the Fourth Proportional to 312.57, 431.42 and 181.71

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Solution

The fourth proportional to 312.57, 431.42 and 181.71 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 431.42 = 181.71 : x
  2. Step 2: Convert to fraction form
    312.57/431.42 = 181.71/x
  3. Step 3: Cross multiply
    312.57x = 431.42 × 181.71
  4. Step 4: Simplify right side
    312.57x = 78,392.42
  5. Step 5: Solve for x
    x = 78,392.42/312.57
  6. Step 6: Final answer
    x = 250.80

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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.