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Finding the Fourth Proportional to 224.50, 336.78 and 116.26

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Solution

The fourth proportional to 224.50, 336.78 and 116.26 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 336.78 = 116.26 : x
  2. Step 2: Convert to fraction form
    224.50/336.78 = 116.26/x
  3. Step 3: Cross multiply
    224.50x = 336.78 × 116.26
  4. Step 4: Simplify right side
    224.50x = 39,154.04
  5. Step 5: Solve for x
    x = 39,154.04/224.50
  6. Step 6: Final answer
    x = 174.41

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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.