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Finding the Fourth Proportional to 300.16, 414.22 and 169.18

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Solution

The fourth proportional to 300.16, 414.22 and 169.18 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 414.22 = 169.18 : x
  2. Step 2: Convert to fraction form
    300.16/414.22 = 169.18/x
  3. Step 3: Cross multiply
    300.16x = 414.22 × 169.18
  4. Step 4: Simplify right side
    300.16x = 70,077.74
  5. Step 5: Solve for x
    x = 70,077.74/300.16
  6. Step 6: Final answer
    x = 233.47

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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.