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Finding the Fourth Proportional to 216.42, 298.80 and 213.99

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Solution

The fourth proportional to 216.42, 298.80 and 213.99 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.80 = 213.99 : x
  2. Step 2: Convert to fraction form
    216.42/298.80 = 213.99/x
  3. Step 3: Cross multiply
    216.42x = 298.80 × 213.99
  4. Step 4: Simplify right side
    216.42x = 63,940.21
  5. Step 5: Solve for x
    x = 63,940.21/216.42
  6. Step 6: Final answer
    x = 295.45

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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.