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Finding the Fourth Proportional to 217.46, 300.10 and 119.22

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Solution

The fourth proportional to 217.46, 300.10 and 119.22 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 300.10 = 119.22 : x
  2. Step 2: Convert to fraction form
    217.46/300.10 = 119.22/x
  3. Step 3: Cross multiply
    217.46x = 300.10 × 119.22
  4. Step 4: Simplify right side
    217.46x = 35,777.17
  5. Step 5: Solve for x
    x = 35,777.17/217.46
  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.