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Finding the Fourth Proportional to 217.51, 300.17 and 119.26

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Solution

The fourth proportional to 217.51, 300.17 and 119.26 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 300.17 = 119.26 : x
  2. Step 2: Convert to fraction form
    217.51/300.17 = 119.26/x
  3. Step 3: Cross multiply
    217.51x = 300.17 × 119.26
  4. Step 4: Simplify right side
    217.51x = 35,798.95
  5. Step 5: Solve for x
    x = 35,798.95/217.51
  6. Step 6: Final answer
    x = 164.59

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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.