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Finding the Fourth Proportional to 215.21, 296.99 and 116.97

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Solution

The fourth proportional to 215.21, 296.99 and 116.97 is: 161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.21 : 296.99 = 116.97 : x
  2. Step 2: Convert to fraction form
    215.21/296.99 = 116.97/x
  3. Step 3: Cross multiply
    215.21x = 296.99 × 116.97
  4. Step 4: Simplify right side
    215.21x = 34,737.37
  5. Step 5: Solve for x
    x = 34,737.37/215.21
  6. Step 6: Final answer
    x = 161.41

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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.