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Finding the Fourth Proportional to 312.87, 431.64 and 181.83

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Solution

The fourth proportional to 312.87, 431.64 and 181.83 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.87 : 431.64 = 181.83 : x
  2. Step 2: Convert to fraction form
    312.87/431.64 = 181.83/x
  3. Step 3: Cross multiply
    312.87x = 431.64 × 181.83
  4. Step 4: Simplify right side
    312.87x = 78,485.10
  5. Step 5: Solve for x
    x = 78,485.10/312.87
  6. Step 6: Final answer
    x = 250.86

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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.