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Finding the Fourth Proportional to 223.26, 308.12 and 125.05

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Solution

The fourth proportional to 223.26, 308.12 and 125.05 is: 172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 308.12 = 125.05 : x
  2. Step 2: Convert to fraction form
    223.26/308.12 = 125.05/x
  3. Step 3: Cross multiply
    223.26x = 308.12 × 125.05
  4. Step 4: Simplify right side
    223.26x = 38,530.41
  5. Step 5: Solve for x
    x = 38,530.41/223.26
  6. Step 6: Final answer
    x = 172.58

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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.