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Finding the Fourth Proportional to 216.10, 323.83 and 210.74

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Solution

The fourth proportional to 216.10, 323.83 and 210.74 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 323.83 = 210.74 : x
  2. Step 2: Convert to fraction form
    216.10/323.83 = 210.74/x
  3. Step 3: Cross multiply
    216.10x = 323.83 × 210.74
  4. Step 4: Simplify right side
    216.10x = 68,242.58
  5. Step 5: Solve for x
    x = 68,242.58/216.10
  6. Step 6: Final answer
    x = 315.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.