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Finding the Fourth Proportional to 216.48, 298.78 and 181.45

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Solution

The fourth proportional to 216.48, 298.78 and 181.45 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 298.78 = 181.45 : x
  2. Step 2: Convert to fraction form
    216.48/298.78 = 181.45/x
  3. Step 3: Cross multiply
    216.48x = 298.78 × 181.45
  4. Step 4: Simplify right side
    216.48x = 54,213.55
  5. Step 5: Solve for x
    x = 54,213.55/216.48
  6. Step 6: Final answer
    x = 250.43

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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.