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Finding the Fourth Proportional to 258.20, 386.65 and 171.27

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Solution

The fourth proportional to 258.20, 386.65 and 171.27 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 386.65 = 171.27 : x
  2. Step 2: Convert to fraction form
    258.20/386.65 = 171.27/x
  3. Step 3: Cross multiply
    258.20x = 386.65 × 171.27
  4. Step 4: Simplify right side
    258.20x = 66,222.37
  5. Step 5: Solve for x
    x = 66,222.37/258.20
  6. Step 6: Final answer
    x = 256.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.