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Finding the Fourth Proportional to 224.74, 338.51 and 205.30

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Solution

The fourth proportional to 224.74, 338.51 and 205.30 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.74 : 338.51 = 205.30 : x
  2. Step 2: Convert to fraction form
    224.74/338.51 = 205.30/x
  3. Step 3: Cross multiply
    224.74x = 338.51 × 205.30
  4. Step 4: Simplify right side
    224.74x = 69,496.10
  5. Step 5: Solve for x
    x = 69,496.10/224.74
  6. Step 6: Final answer
    x = 309.23

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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.