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Finding the Fourth Proportional to 334.75, 462.14 and 224.38

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Solution

The fourth proportional to 334.75, 462.14 and 224.38 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 462.14 = 224.38 : x
  2. Step 2: Convert to fraction form
    334.75/462.14 = 224.38/x
  3. Step 3: Cross multiply
    334.75x = 462.14 × 224.38
  4. Step 4: Simplify right side
    334.75x = 103,694.97
  5. Step 5: Solve for x
    x = 103,694.97/334.75
  6. Step 6: Final answer
    x = 309.77

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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.