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Finding the Fourth Proportional to 223.78, 308.72 and 171.26

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Solution

The fourth proportional to 223.78, 308.72 and 171.26 is: 236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.78 : 308.72 = 171.26 : x
  2. Step 2: Convert to fraction form
    223.78/308.72 = 171.26/x
  3. Step 3: Cross multiply
    223.78x = 308.72 × 171.26
  4. Step 4: Simplify right side
    223.78x = 52,871.39
  5. Step 5: Solve for x
    x = 52,871.39/223.78
  6. Step 6: Final answer
    x = 236.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.