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Finding the Fourth Proportional to 224.12, 309.09 and 140.06

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Solution

The fourth proportional to 224.12, 309.09 and 140.06 is: 193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 309.09 = 140.06 : x
  2. Step 2: Convert to fraction form
    224.12/309.09 = 140.06/x
  3. Step 3: Cross multiply
    224.12x = 309.09 × 140.06
  4. Step 4: Simplify right side
    224.12x = 43,291.15
  5. Step 5: Solve for x
    x = 43,291.15/224.12
  6. Step 6: Final answer
    x = 193.16

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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.