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Finding the Fourth Proportional to 217.08, 323.83 and 202.36

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Solution

The fourth proportional to 217.08, 323.83 and 202.36 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 323.83 = 202.36 : x
  2. Step 2: Convert to fraction form
    217.08/323.83 = 202.36/x
  3. Step 3: Cross multiply
    217.08x = 323.83 × 202.36
  4. Step 4: Simplify right side
    217.08x = 65,530.24
  5. Step 5: Solve for x
    x = 65,530.24/217.08
  6. Step 6: Final answer
    x = 301.87

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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.