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Finding the Fourth Proportional to 373.88, 515.81 and 226.46

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Solution

The fourth proportional to 373.88, 515.81 and 226.46 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.88 : 515.81 = 226.46 : x
  2. Step 2: Convert to fraction form
    373.88/515.81 = 226.46/x
  3. Step 3: Cross multiply
    373.88x = 515.81 × 226.46
  4. Step 4: Simplify right side
    373.88x = 116,806.62
  5. Step 5: Solve for x
    x = 116,806.62/373.88
  6. Step 6: Final answer
    x = 312.42

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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.