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Finding the Fourth Proportional to 224.43, 335.69 and 195.63

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Solution

The fourth proportional to 224.43, 335.69 and 195.63 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.43 : 335.69 = 195.63 : x
  2. Step 2: Convert to fraction form
    224.43/335.69 = 195.63/x
  3. Step 3: Cross multiply
    224.43x = 335.69 × 195.63
  4. Step 4: Simplify right side
    224.43x = 65,670.06
  5. Step 5: Solve for x
    x = 65,670.06/224.43
  6. Step 6: Final answer
    x = 292.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.