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Finding the Fourth Proportional to 258.27, 386.80 and 203.80

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Solution

The fourth proportional to 258.27, 386.80 and 203.80 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.27 : 386.80 = 203.80 : x
  2. Step 2: Convert to fraction form
    258.27/386.80 = 203.80/x
  3. Step 3: Cross multiply
    258.27x = 386.80 × 203.80
  4. Step 4: Simplify right side
    258.27x = 78,828.82
  5. Step 5: Solve for x
    x = 78,828.82/258.27
  6. Step 6: Final answer
    x = 305.22

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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.