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Finding the Fourth Proportional to 313.96, 433.20 and 182.92

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Solution

The fourth proportional to 313.96, 433.20 and 182.92 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 433.20 = 182.92 : x
  2. Step 2: Convert to fraction form
    313.96/433.20 = 182.92/x
  3. Step 3: Cross multiply
    313.96x = 433.20 × 182.92
  4. Step 4: Simplify right side
    313.96x = 79,240.94
  5. Step 5: Solve for x
    x = 79,240.94/313.96
  6. Step 6: Final answer
    x = 252.39

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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.