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Finding the Fourth Proportional to 217.17, 324.09 and 194.11

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Solution

The fourth proportional to 217.17, 324.09 and 194.11 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.17 : 324.09 = 194.11 : x
  2. Step 2: Convert to fraction form
    217.17/324.09 = 194.11/x
  3. Step 3: Cross multiply
    217.17x = 324.09 × 194.11
  4. Step 4: Simplify right side
    217.17x = 62,907.49
  5. Step 5: Solve for x
    x = 62,907.49/217.17
  6. Step 6: Final answer
    x = 289.67

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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.