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Finding the Fourth Proportional to 216.65, 323.00 and 203.59

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Solution

The fourth proportional to 216.65, 323.00 and 203.59 is: 303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.65 : 323.00 = 203.59 : x
  2. Step 2: Convert to fraction form
    216.65/323.00 = 203.59/x
  3. Step 3: Cross multiply
    216.65x = 323.00 × 203.59
  4. Step 4: Simplify right side
    216.65x = 65,759.10
  5. Step 5: Solve for x
    x = 65,759.10/216.65
  6. Step 6: Final answer
    x = 303.53

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Why These Related Problems?

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