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Finding the Fourth Proportional to 224.14, 309.32 and 140.10

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Solution

The fourth proportional to 224.14, 309.32 and 140.10 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.14 : 309.32 = 140.10 : x
  2. Step 2: Convert to fraction form
    224.14/309.32 = 140.10/x
  3. Step 3: Cross multiply
    224.14x = 309.32 × 140.10
  4. Step 4: Simplify right side
    224.14x = 43,335.73
  5. Step 5: Solve for x
    x = 43,335.73/224.14
  6. Step 6: Final answer
    x = 193.34

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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.