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Finding the Fourth Proportional to 374.19, 516.31 and 226.83

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Solution

The fourth proportional to 374.19, 516.31 and 226.83 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.19 : 516.31 = 226.83 : x
  2. Step 2: Convert to fraction form
    374.19/516.31 = 226.83/x
  3. Step 3: Cross multiply
    374.19x = 516.31 × 226.83
  4. Step 4: Simplify right side
    374.19x = 117,114.60
  5. Step 5: Solve for x
    x = 117,114.60/374.19
  6. Step 6: Final answer
    x = 312.98

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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.