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Finding the Fourth Proportional to 224.89, 310.32 and 141.97

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Solution

The fourth proportional to 224.89, 310.32 and 141.97 is: 195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.89 : 310.32 = 141.97 : x
  2. Step 2: Convert to fraction form
    224.89/310.32 = 141.97/x
  3. Step 3: Cross multiply
    224.89x = 310.32 × 141.97
  4. Step 4: Simplify right side
    224.89x = 44,056.13
  5. Step 5: Solve for x
    x = 44,056.13/224.89
  6. Step 6: Final answer
    x = 195.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.