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Finding the Fourth Proportional to 300.07, 414.09 and 169.08

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Solution

The fourth proportional to 300.07, 414.09 and 169.08 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.07 : 414.09 = 169.08 : x
  2. Step 2: Convert to fraction form
    300.07/414.09 = 169.08/x
  3. Step 3: Cross multiply
    300.07x = 414.09 × 169.08
  4. Step 4: Simplify right side
    300.07x = 70,012.27
  5. Step 5: Solve for x
    x = 70,012.27/300.07
  6. Step 6: Final answer
    x = 233.32

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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.