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Finding the Fourth Proportional to 374.15, 516.25 and 226.75

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Solution

The fourth proportional to 374.15, 516.25 and 226.75 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.15 : 516.25 = 226.75 : x
  2. Step 2: Convert to fraction form
    374.15/516.25 = 226.75/x
  3. Step 3: Cross multiply
    374.15x = 516.25 × 226.75
  4. Step 4: Simplify right side
    374.15x = 117,059.69
  5. Step 5: Solve for x
    x = 117,059.69/374.15
  6. Step 6: Final answer
    x = 312.87

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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.