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Finding the Fourth Proportional to 223.45, 308.14 and 174.31

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Solution

The fourth proportional to 223.45, 308.14 and 174.31 is: 240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 308.14 = 174.31 : x
  2. Step 2: Convert to fraction form
    223.45/308.14 = 174.31/x
  3. Step 3: Cross multiply
    223.45x = 308.14 × 174.31
  4. Step 4: Simplify right side
    223.45x = 53,711.88
  5. Step 5: Solve for x
    x = 53,711.88/223.45
  6. Step 6: Final answer
    x = 240.38

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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.