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Finding the Fourth Proportional to 217.33, 299.82 and 158.18

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Solution

The fourth proportional to 217.33, 299.82 and 158.18 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.33 : 299.82 = 158.18 : x
  2. Step 2: Convert to fraction form
    217.33/299.82 = 158.18/x
  3. Step 3: Cross multiply
    217.33x = 299.82 × 158.18
  4. Step 4: Simplify right side
    217.33x = 47,424.62
  5. Step 5: Solve for x
    x = 47,424.62/217.33
  6. Step 6: Final answer
    x = 218.22

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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.