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Finding the Fourth Proportional to 373.14, 559.17 and 226.40

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Solution

The fourth proportional to 373.14, 559.17 and 226.40 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 559.17 = 226.40 : x
  2. Step 2: Convert to fraction form
    373.14/559.17 = 226.40/x
  3. Step 3: Cross multiply
    373.14x = 559.17 × 226.40
  4. Step 4: Simplify right side
    373.14x = 126,593.29
  5. Step 5: Solve for x
    x = 126,593.29/373.14
  6. Step 6: Final answer
    x = 339.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.