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Finding the Fourth Proportional to 224.43, 336.64 and 116.22

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Solution

The fourth proportional to 224.43, 336.64 and 116.22 is: 174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.43 : 336.64 = 116.22 : x
  2. Step 2: Convert to fraction form
    224.43/336.64 = 116.22/x
  3. Step 3: Cross multiply
    224.43x = 336.64 × 116.22
  4. Step 4: Simplify right side
    224.43x = 39,124.30
  5. Step 5: Solve for x
    x = 39,124.30/224.43
  6. Step 6: Final answer
    x = 174.33

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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.