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Finding the Fourth Proportional to 223.39, 308.14 and 144.73

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Solution

The fourth proportional to 223.39, 308.14 and 144.73 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.39 : 308.14 = 144.73 : x
  2. Step 2: Convert to fraction form
    223.39/308.14 = 144.73/x
  3. Step 3: Cross multiply
    223.39x = 308.14 × 144.73
  4. Step 4: Simplify right side
    223.39x = 44,597.10
  5. Step 5: Solve for x
    x = 44,597.10/223.39
  6. Step 6: Final answer
    x = 199.64

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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.