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Finding the Fourth Proportional to 301.10, 450.96 and 154.49

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Solution

The fourth proportional to 301.10, 450.96 and 154.49 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.10 : 450.96 = 154.49 : x
  2. Step 2: Convert to fraction form
    301.10/450.96 = 154.49/x
  3. Step 3: Cross multiply
    301.10x = 450.96 × 154.49
  4. Step 4: Simplify right side
    301.10x = 69,669.65
  5. Step 5: Solve for x
    x = 69,669.65/301.10
  6. Step 6: Final answer
    x = 231.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.