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Finding the Fourth Proportional to 216.66, 299.16 and 181.76

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Solution

The fourth proportional to 216.66, 299.16 and 181.76 is: 250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 299.16 = 181.76 : x
  2. Step 2: Convert to fraction form
    216.66/299.16 = 181.76/x
  3. Step 3: Cross multiply
    216.66x = 299.16 × 181.76
  4. Step 4: Simplify right side
    216.66x = 54,375.32
  5. Step 5: Solve for x
    x = 54,375.32/216.66
  6. Step 6: Final answer
    x = 250.97

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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.