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Finding the Fourth Proportional to 224.73, 310.14 and 141.84

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Solution

The fourth proportional to 224.73, 310.14 and 141.84 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.73 : 310.14 = 141.84 : x
  2. Step 2: Convert to fraction form
    224.73/310.14 = 141.84/x
  3. Step 3: Cross multiply
    224.73x = 310.14 × 141.84
  4. Step 4: Simplify right side
    224.73x = 43,990.26
  5. Step 5: Solve for x
    x = 43,990.26/224.73
  6. Step 6: Final answer
    x = 195.75

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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.