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Finding the Fourth Proportional to 257.29, 386.00 and 83.97

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Solution

The fourth proportional to 257.29, 386.00 and 83.97 is: 125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.29 : 386.00 = 83.97 : x
  2. Step 2: Convert to fraction form
    257.29/386.00 = 83.97/x
  3. Step 3: Cross multiply
    257.29x = 386.00 × 83.97
  4. Step 4: Simplify right side
    257.29x = 32,413.04
  5. Step 5: Solve for x
    x = 32,413.04/257.29
  6. Step 6: Final answer
    x = 125.98

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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.