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Finding the Fourth Proportional to 314.37, 433.83 and 181.61

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Solution

The fourth proportional to 314.37, 433.83 and 181.61 is: 250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 433.83 = 181.61 : x
  2. Step 2: Convert to fraction form
    314.37/433.83 = 181.61/x
  3. Step 3: Cross multiply
    314.37x = 433.83 × 181.61
  4. Step 4: Simplify right side
    314.37x = 78,787.87
  5. Step 5: Solve for x
    x = 78,787.87/314.37
  6. Step 6: Final answer
    x = 250.62

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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.