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Finding the Fourth Proportional to 224.93, 335.41 and 197.62

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Solution

The fourth proportional to 224.93, 335.41 and 197.62 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 335.41 = 197.62 : x
  2. Step 2: Convert to fraction form
    224.93/335.41 = 197.62/x
  3. Step 3: Cross multiply
    224.93x = 335.41 × 197.62
  4. Step 4: Simplify right side
    224.93x = 66,282.74
  5. Step 5: Solve for x
    x = 66,282.74/224.93
  6. Step 6: Final answer
    x = 294.68

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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.