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Finding the Fourth Proportional to 301.75, 451.74 and 185.85

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Solution

The fourth proportional to 301.75, 451.74 and 185.85 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 451.74 = 185.85 : x
  2. Step 2: Convert to fraction form
    301.75/451.74 = 185.85/x
  3. Step 3: Cross multiply
    301.75x = 451.74 × 185.85
  4. Step 4: Simplify right side
    301.75x = 83,954.88
  5. Step 5: Solve for x
    x = 83,954.88/301.75
  6. Step 6: Final answer
    x = 278.23

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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.