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Finding the Fourth Proportional to 224.60, 338.02 and 202.23

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Solution

The fourth proportional to 224.60, 338.02 and 202.23 is: 304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 338.02 = 202.23 : x
  2. Step 2: Convert to fraction form
    224.60/338.02 = 202.23/x
  3. Step 3: Cross multiply
    224.60x = 338.02 × 202.23
  4. Step 4: Simplify right side
    224.60x = 68,357.28
  5. Step 5: Solve for x
    x = 68,357.28/224.60
  6. Step 6: Final answer
    x = 304.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.