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Finding the Fourth Proportional to 312.94, 431.76 and 181.86

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Solution

The fourth proportional to 312.94, 431.76 and 181.86 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 431.76 = 181.86 : x
  2. Step 2: Convert to fraction form
    312.94/431.76 = 181.86/x
  3. Step 3: Cross multiply
    312.94x = 431.76 × 181.86
  4. Step 4: Simplify right side
    312.94x = 78,519.87
  5. Step 5: Solve for x
    x = 78,519.87/312.94
  6. Step 6: Final answer
    x = 250.91

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