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Finding the Fourth Proportional to 215.96, 298.09 and 127.43

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Solution

The fourth proportional to 215.96, 298.09 and 127.43 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 298.09 = 127.43 : x
  2. Step 2: Convert to fraction form
    215.96/298.09 = 127.43/x
  3. Step 3: Cross multiply
    215.96x = 298.09 × 127.43
  4. Step 4: Simplify right side
    215.96x = 37,986.04
  5. Step 5: Solve for x
    x = 37,986.04/215.96
  6. Step 6: Final answer
    x = 175.90

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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.