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Finding the Fourth Proportional to 217.30, 299.87 and 119.06

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Solution

The fourth proportional to 217.30, 299.87 and 119.06 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 299.87 = 119.06 : x
  2. Step 2: Convert to fraction form
    217.30/299.87 = 119.06/x
  3. Step 3: Cross multiply
    217.30x = 299.87 × 119.06
  4. Step 4: Simplify right side
    217.30x = 35,701.02
  5. Step 5: Solve for x
    x = 35,701.02/217.30
  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.