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Finding the Fourth Proportional to 215.44, 296.91 and 180.49

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Solution

The fourth proportional to 215.44, 296.91 and 180.49 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 296.91 = 180.49 : x
  2. Step 2: Convert to fraction form
    215.44/296.91 = 180.49/x
  3. Step 3: Cross multiply
    215.44x = 296.91 × 180.49
  4. Step 4: Simplify right side
    215.44x = 53,589.29
  5. Step 5: Solve for x
    x = 53,589.29/215.44
  6. Step 6: Final answer
    x = 248.74

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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.