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Finding the Fourth Proportional to 217.01, 324.84 and 209.87

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Solution

The fourth proportional to 217.01, 324.84 and 209.87 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 324.84 = 209.87 : x
  2. Step 2: Convert to fraction form
    217.01/324.84 = 209.87/x
  3. Step 3: Cross multiply
    217.01x = 324.84 × 209.87
  4. Step 4: Simplify right side
    217.01x = 68,174.17
  5. Step 5: Solve for x
    x = 68,174.17/217.01
  6. Step 6: Final answer
    x = 314.15

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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.