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Finding the Fourth Proportional to 216.75, 323.00 and 210.81

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Solution

The fourth proportional to 216.75, 323.00 and 210.81 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 323.00 = 210.81 : x
  2. Step 2: Convert to fraction form
    216.75/323.00 = 210.81/x
  3. Step 3: Cross multiply
    216.75x = 323.00 × 210.81
  4. Step 4: Simplify right side
    216.75x = 68,089.36
  5. Step 5: Solve for x
    x = 68,089.36/216.75
  6. Step 6: Final answer
    x = 314.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.