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Finding the Fourth Proportional to 373.98, 516.14 and 226.63

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Solution

The fourth proportional to 373.98, 516.14 and 226.63 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.98 : 516.14 = 226.63 : x
  2. Step 2: Convert to fraction form
    373.98/516.14 = 226.63/x
  3. Step 3: Cross multiply
    373.98x = 516.14 × 226.63
  4. Step 4: Simplify right side
    373.98x = 116,973.17
  5. Step 5: Solve for x
    x = 116,973.17/373.98
  6. Step 6: Final answer
    x = 312.78

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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.