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Finding the Fourth Proportional to 339.13, 467.73 and 227.14

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Solution

The fourth proportional to 339.13, 467.73 and 227.14 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.13 : 467.73 = 227.14 : x
  2. Step 2: Convert to fraction form
    339.13/467.73 = 227.14/x
  3. Step 3: Cross multiply
    339.13x = 467.73 × 227.14
  4. Step 4: Simplify right side
    339.13x = 106,240.19
  5. Step 5: Solve for x
    x = 106,240.19/339.13
  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.