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Finding the Fourth Proportional to 217.29, 299.86 and 119.05

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Solution

The fourth proportional to 217.29, 299.86 and 119.05 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.29 : 299.86 = 119.05 : x
  2. Step 2: Convert to fraction form
    217.29/299.86 = 119.05/x
  3. Step 3: Cross multiply
    217.29x = 299.86 × 119.05
  4. Step 4: Simplify right side
    217.29x = 35,696.83
  5. Step 5: Solve for x
    x = 35,696.83/217.29
  6. Step 6: Final answer
    x = 164.29

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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.