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Finding the Fourth Proportional to 223.54, 308.61 and 150.25

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Solution

The fourth proportional to 223.54, 308.61 and 150.25 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 308.61 = 150.25 : x
  2. Step 2: Convert to fraction form
    223.54/308.61 = 150.25/x
  3. Step 3: Cross multiply
    223.54x = 308.61 × 150.25
  4. Step 4: Simplify right side
    223.54x = 46,367.88
  5. Step 5: Solve for x
    x = 46,367.88/223.54
  6. Step 6: Final answer
    x = 207.42

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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.