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Finding the Fourth Proportional to 217.16, 299.56 and 138.34

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Solution

The fourth proportional to 217.16, 299.56 and 138.34 is: 190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 299.56 = 138.34 : x
  2. Step 2: Convert to fraction form
    217.16/299.56 = 138.34/x
  3. Step 3: Cross multiply
    217.16x = 299.56 × 138.34
  4. Step 4: Simplify right side
    217.16x = 41,441.13
  5. Step 5: Solve for x
    x = 41,441.13/217.16
  6. Step 6: Final answer
    x = 190.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.