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Finding the Fourth Proportional to 300, 414.06 and 169.01

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Solution

The fourth proportional to 300, 414.06 and 169.01 is: 233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 414.06 = 169.01 : x
  2. Step 2: Convert to fraction form
    300/414.06 = 169.01/x
  3. Step 3: Cross multiply
    300x = 414.06 × 169.01
  4. Step 4: Simplify right side
    300x = 69,980.28
  5. Step 5: Solve for x
    x = 69,980.28/300
  6. Step 6: Final answer
    x = 233.27

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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.