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Finding the Fourth Proportional to 224.26, 333.86 and 214.30

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Solution

The fourth proportional to 224.26, 333.86 and 214.30 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.26 : 333.86 = 214.30 : x
  2. Step 2: Convert to fraction form
    224.26/333.86 = 214.30/x
  3. Step 3: Cross multiply
    224.26x = 333.86 × 214.30
  4. Step 4: Simplify right side
    224.26x = 71,546.20
  5. Step 5: Solve for x
    x = 71,546.20/224.26
  6. Step 6: Final answer
    x = 319.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.