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Finding the Fourth Proportional to 223.80, 308.22 and 171.96

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Solution

The fourth proportional to 223.80, 308.22 and 171.96 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 308.22 = 171.96 : x
  2. Step 2: Convert to fraction form
    223.80/308.22 = 171.96/x
  3. Step 3: Cross multiply
    223.80x = 308.22 × 171.96
  4. Step 4: Simplify right side
    223.80x = 53,001.51
  5. Step 5: Solve for x
    x = 53,001.51/223.80
  6. Step 6: Final answer
    x = 236.83

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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.