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Finding the Fourth Proportional to 224.55, 335.17 and 208.03

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Solution

The fourth proportional to 224.55, 335.17 and 208.03 is: 310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.55 : 335.17 = 208.03 : x
  2. Step 2: Convert to fraction form
    224.55/335.17 = 208.03/x
  3. Step 3: Cross multiply
    224.55x = 335.17 × 208.03
  4. Step 4: Simplify right side
    224.55x = 69,725.73
  5. Step 5: Solve for x
    x = 69,725.73/224.55
  6. Step 6: Final answer
    x = 310.52

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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.