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Finding the Fourth Proportional to 224.26, 336.15 and 108.53

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Solution

The fourth proportional to 224.26, 336.15 and 108.53 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.26 : 336.15 = 108.53 : x
  2. Step 2: Convert to fraction form
    224.26/336.15 = 108.53/x
  3. Step 3: Cross multiply
    224.26x = 336.15 × 108.53
  4. Step 4: Simplify right side
    224.26x = 36,481.94
  5. Step 5: Solve for x
    x = 36,481.94/224.26
  6. Step 6: Final answer
    x = 162.68

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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.