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Finding the Fourth Proportional to 223.52, 308.07 and 170.33

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Solution

The fourth proportional to 223.52, 308.07 and 170.33 is: 234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 308.07 = 170.33 : x
  2. Step 2: Convert to fraction form
    223.52/308.07 = 170.33/x
  3. Step 3: Cross multiply
    223.52x = 308.07 × 170.33
  4. Step 4: Simplify right side
    223.52x = 52,472.02
  5. Step 5: Solve for x
    x = 52,472.02/223.52
  6. Step 6: Final answer
    x = 234.76

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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.