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Finding the Fourth Proportional to 300.02, 414.01 and 169.03

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Solution

The fourth proportional to 300.02, 414.01 and 169.03 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.02 : 414.01 = 169.03 : x
  2. Step 2: Convert to fraction form
    300.02/414.01 = 169.03/x
  3. Step 3: Cross multiply
    300.02x = 414.01 × 169.03
  4. Step 4: Simplify right side
    300.02x = 69,980.11
  5. Step 5: Solve for x
    x = 69,980.11/300.02
  6. Step 6: Final answer
    x = 233.25

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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.