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Finding the Fourth Proportional to 216.81, 299.28 and 138.24

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Solution

The fourth proportional to 216.81, 299.28 and 138.24 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.28 = 138.24 : x
  2. Step 2: Convert to fraction form
    216.81/299.28 = 138.24/x
  3. Step 3: Cross multiply
    216.81x = 299.28 × 138.24
  4. Step 4: Simplify right side
    216.81x = 41,372.47
  5. Step 5: Solve for x
    x = 41,372.47/216.81
  6. Step 6: Final answer
    x = 190.82

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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.