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Finding the Fourth Proportional to 223.70, 308.93 and 140.83

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Solution

The fourth proportional to 223.70, 308.93 and 140.83 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 308.93 = 140.83 : x
  2. Step 2: Convert to fraction form
    223.70/308.93 = 140.83/x
  3. Step 3: Cross multiply
    223.70x = 308.93 × 140.83
  4. Step 4: Simplify right side
    223.70x = 43,505.14
  5. Step 5: Solve for x
    x = 43,505.14/223.70
  6. Step 6: Final answer
    x = 194.48

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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.