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Finding the Fourth Proportional to 224.29, 336.29 and 94.26

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Solution

The fourth proportional to 224.29, 336.29 and 94.26 is: 141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.29 : 336.29 = 94.26 : x
  2. Step 2: Convert to fraction form
    224.29/336.29 = 94.26/x
  3. Step 3: Cross multiply
    224.29x = 336.29 × 94.26
  4. Step 4: Simplify right side
    224.29x = 31,698.70
  5. Step 5: Solve for x
    x = 31,698.70/224.29
  6. Step 6: Final answer
    x = 141.33

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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.