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Finding the Fourth Proportional to 217.50, 300.12 and 119.23

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Solution

The fourth proportional to 217.50, 300.12 and 119.23 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.50 : 300.12 = 119.23 : x
  2. Step 2: Convert to fraction form
    217.50/300.12 = 119.23/x
  3. Step 3: Cross multiply
    217.50x = 300.12 × 119.23
  4. Step 4: Simplify right side
    217.50x = 35,783.61
  5. Step 5: Solve for x
    x = 35,783.61/217.50
  6. Step 6: Final answer
    x = 164.52

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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.