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Finding the Fourth Proportional to 216.99, 298.77 and 204.96

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Solution

The fourth proportional to 216.99, 298.77 and 204.96 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.99 : 298.77 = 204.96 : x
  2. Step 2: Convert to fraction form
    216.99/298.77 = 204.96/x
  3. Step 3: Cross multiply
    216.99x = 298.77 × 204.96
  4. Step 4: Simplify right side
    216.99x = 61,235.90
  5. Step 5: Solve for x
    x = 61,235.90/216.99
  6. Step 6: Final answer
    x = 282.21

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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.