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Finding the Fourth Proportional to 224.62, 309.76 and 140.48

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Solution

The fourth proportional to 224.62, 309.76 and 140.48 is: 193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.62 : 309.76 = 140.48 : x
  2. Step 2: Convert to fraction form
    224.62/309.76 = 140.48/x
  3. Step 3: Cross multiply
    224.62x = 309.76 × 140.48
  4. Step 4: Simplify right side
    224.62x = 43,515.08
  5. Step 5: Solve for x
    x = 43,515.08/224.62
  6. Step 6: Final answer
    x = 193.73

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