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Finding the Fourth Proportional to 223.81, 308.89 and 125.58

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Solution

The fourth proportional to 223.81, 308.89 and 125.58 is: 173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.81 : 308.89 = 125.58 : x
  2. Step 2: Convert to fraction form
    223.81/308.89 = 125.58/x
  3. Step 3: Cross multiply
    223.81x = 308.89 × 125.58
  4. Step 4: Simplify right side
    223.81x = 38,790.41
  5. Step 5: Solve for x
    x = 38,790.41/223.81
  6. Step 6: Final answer
    x = 173.32

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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.