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Finding the Fourth Proportional to 223.70, 308.69 and 125.46

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Solution

The fourth proportional to 223.70, 308.69 and 125.46 is: 173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 308.69 = 125.46 : x
  2. Step 2: Convert to fraction form
    223.70/308.69 = 125.46/x
  3. Step 3: Cross multiply
    223.70x = 308.69 × 125.46
  4. Step 4: Simplify right side
    223.70x = 38,726.70
  5. Step 5: Solve for x
    x = 38,726.70/223.70
  6. Step 6: Final answer
    x = 173.12

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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.