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Finding the Fourth Proportional to 374.26, 516.54 and 226.98

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Solution

The fourth proportional to 374.26, 516.54 and 226.98 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.26 : 516.54 = 226.98 : x
  2. Step 2: Convert to fraction form
    374.26/516.54 = 226.98/x
  3. Step 3: Cross multiply
    374.26x = 516.54 × 226.98
  4. Step 4: Simplify right side
    374.26x = 117,244.25
  5. Step 5: Solve for x
    x = 117,244.25/374.26
  6. Step 6: Final answer
    x = 313.27

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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.